{"id":19,"date":"2023-09-17T11:09:46","date_gmt":"2023-09-17T11:09:46","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%be%d0%b1%d1%80%d0%b0%d1%82%d0%bd%d0%b0%d1%8f-%d0%b8%d0%bb%d0%b8-%d0%be%d0%b1%d1%80%d0%b0%d1%82%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/"},"modified":"2023-09-17T11:09:46","modified_gmt":"2023-09-17T11:09:46","slug":"%d0%be%d0%b1%d1%80%d0%b0%d1%82%d0%bd%d0%b0%d1%8f-%d0%b8%d0%bb%d0%b8-%d0%be%d0%b1%d1%80%d0%b0%d1%82%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%be%d0%b1%d1%80%d0%b0%d1%82%d0%bd%d0%b0%d1%8f-%d0%b8%d0%bb%d0%b8-%d0%be%d0%b1%d1%80%d0%b0%d1%82%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/","title":{"rendered":"\u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f (\u0438\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f) \u0444\u0443\u043d\u043a\u0446\u0438\u044f"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f (\u0438\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438 \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043b\u0435\u0433\u043a\u043e \u0443\u0437\u043d\u0430\u0442\u044c, \u0438\u043c\u0435\u0435\u0442 \u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0438\u043b\u0438 \u043d\u0435\u0442, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435 \u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-funcion-inversa\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u0430\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439, \u2014 \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043e\u0431\u043b\u0430\u0441\u0442\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0434\u0440\u0443\u0433\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 (\u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438), \u0430 \u043e\u0431\u043b\u0430\u0441\u0442\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u2014 \u043e\u0431\u043b\u0430\u0441\u0442\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 <em>f<\/em> \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u0441\u0438\u043c\u0432\u043e\u043b\u043e\u043c <em>f <sup>-1<\/sup><\/em> .<\/strong><\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439 <em>f(x)<\/em> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0449\u0430\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0443\u0441\u043b\u043e\u0432\u0438\u044e: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/resultat-multiplication-de-polynomes.jpg\" alt=\"\u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0438\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f\" class=\"wp-image-685\" width=\"208\" height=\"210\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0417\u043e\u043b\u043e\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-58f82ae2e066a1c3d7f8abc65f1a5caf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84385e96f3e4a161ac693910846e9e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f.\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u043d\u044f\u0442\u0438\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043b\u044e\u0431\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u0430\u044f \u0438\u0437 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0440\u0430\u0432\u043d\u0430 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8209c8ece304984d292d18d3f5968fb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f\\circ f^{-1})(x)=(f^{-1}\\circ f)(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0421\u043c\u043e\u0442\u0440\u0438\u0442\u0435:<\/strong> <span style=\"text-decoration: underline;\"> \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439? <\/span><\/p>\n<p> \u0418\u0442\u0430\u043a, \u0435\u0441\u043b\u0438 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f, \u044d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-58f82ae2e066a1c3d7f8abc65f1a5caf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p> &#8212; \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f (\u0438\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f) <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84385e96f3e4a161ac693910846e9e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f.\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-funcion-inversa\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0440\u0435\u0448\u0438\u043c \u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u043b\u0443\u0447\u0448\u0435 \u043f\u043e\u043d\u044f\u0442\u044c \u0435\u0435 \u0441\u043c\u044b\u0441\u043b.<\/p>\n<ul>\n<li> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435, \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043b\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7dbebbad962bbec034d4203171f49422_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x+1\\qquad g(x)=\\cfrac{x-1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"243\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443, \u0431\u0443\u0434\u0443\u0442 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 2 \u0443\u0441\u043b\u043e\u0432\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-facf310c96df4f7102c40db7ba7bbc5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f \\circ g)(x) = x \\qquad \\qquad  (g \\circ f)(x) = x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"286\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u043c, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044e\u0442\u0441\u044f \u043b\u0438 \u043e\u0431\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f. \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d73ab8f95080e2c6ec60813b7c9edb66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f \\circ g)(x) = x:\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36f7d5f4d815a58f808114ae471c31dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\displaystyle\\left(f \\circ g\\right)(x)&amp; = f\\Big(g(x)\\Big)\\\\[2ex]&amp;= f\\left( \\frac{x-1}{2} \\right)\\\\[2ex]&amp; = 2\\left( \\frac{x-1}{2} \\right)+1\\\\[2ex]&amp; =x-1+1\\\\[2ex]&amp;=\\bm{x} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"240\" width=\"212\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u27a4 \u0415\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u043f\u043e\u043d\u0438\u043c\u0430\u0435\u0442\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u043d\u044b\u0439 \u0440\u0430\u0441\u0447\u0435\u0442, \u043f\u0435\u0440\u0435\u0439\u0434\u0438\u0442\u0435 \u043f\u043e \u0441\u0441\u044b\u043b\u043a\u0435 \u0432\u044b\u0448\u0435, \u0447\u0442\u043e\u0431\u044b \u0443\u0437\u043d\u0430\u0442\u044c, <em>\u043a\u0430\u043a\u043e\u0432 \u0441\u043e\u0441\u0442\u0430\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439?<\/em> , \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u044d\u0442\u043e\u0442 \u0442\u0438\u043f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u043c\u0438.<\/p>\n<p> \u0422\u0430\u043a \u0447\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76ab7a77ded5af1f65f660a89117dd63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f \\circ g)(x) = x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0434\u0430, \u044d\u0442\u043e \u043e\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0438\u043c\u043e. \u2705<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u043c \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42d46171e7088d03e62c95620856d280_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g \\circ f)(x) = x :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-83423fe7deab472f1a7e9575ec7af8c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\left(g \\circ f\\right)(x)&amp;= g\\Big(f(x)\\Big)\\\\[2ex]&amp;= g\\Big(2x +1 \\Big)\\\\[2ex]&amp;=\\cfrac{(2x+1)-1}{2}\\\\[2ex]&amp;= \\cfrac{2x}{2}\\\\[2ex]&amp;=\\bm{x} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"249\" width=\"196\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418 \u0443\u0441\u043b\u043e\u0432\u0438\u0435 \u043e\u0431\u0440\u0430\u0442\u0438\u043c\u043e\u0441\u0442\u0438<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f9fbc925d54530fcfa7ee7678e65b952_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g \\circ f)(x) = x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044d\u0442\u043e \u0442\u043e\u0436\u0435 \u043e\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0438\u043c\u043e. \u2705<\/p>\n<p> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u0431\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044e\u0442\u0441\u044f, <strong>\u044d\u0442\u0438 \u0434\u0432\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443.<\/strong><\/p>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u043e\u0431\u0435\u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439. \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e <strong>\u0433\u0440\u0430\u0444\u0438\u043a\u0438 \u0434\u0432\u0443\u0445 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b<\/strong> \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0431\u0438\u0441\u0441\u0435\u043a\u0442\u0440\u0438\u0441\u044b \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0438 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u043e\u0432: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-inverse.webp\" alt=\"\u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f\" class=\"wp-image-673\" width=\"486\" height=\"402\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-saber-si-una-funcion-tiene-inversa\"><\/span> \u041a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0438\u043c\u0435\u0435\u0442 \u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u0435\u0441\u043b\u0438 \u043e\u043d\u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0438\u043d\u044a\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439<\/strong> , \u0442\u043e \u0435\u0441\u0442\u044c \u0435\u0441\u043b\u0438 \u043a\u0430\u0436\u0434\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u043e \u0432\u0441\u0435\u0439 \u0435\u0435 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u0434\u043d\u043e\u043c\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e \u0432 \u0441\u0432\u043e\u0435\u043c \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0435. <\/p>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-135\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">\u041f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439<\/span> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-etape-par-etape-des-fonctions-exponentielles.webp\" alt=\"\" class=\"wp-image-251\" width=\"254\" height=\"250\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">\u041a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0435\u0437 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/span> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-d-une-fonction-quadratique-ou-parabole.webp\" alt=\"\" class=\"wp-image-137\" width=\"222\" height=\"250\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043b\u0435\u0432\u0430\u044f \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u0430\u0436\u0434\u044b\u0439 <em>x<\/em> \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u0434\u043d\u043e\u043c\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e <em>f(x)<\/em> . \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043f\u0440\u0430\u0432\u0430\u044f \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0442\u0430\u043a \u043a\u0430\u043a \u0438\u043c\u0435\u0435\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 <em>x<\/em> , \u043e\u0431\u0440\u0430\u0437\u044b \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0440\u0430\u0432\u043d\u044b (\u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 <em>f(1)=f(3)=2)<\/em> .<\/p>\n<p> \u0422\u043e\u0447\u043d\u043e \u0442\u0430\u043a \u0436\u0435 \u0431\u0438\u0435\u043a\u0442\u0438\u0432\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0434\u043d\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u043e \u0438\u043d\u044a\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0439 \u0438 \u0441\u044e\u0440\u044a\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043b\u044e\u0431\u0430\u044f \u0431\u0438\u0435\u043a\u0442\u0438\u0432\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043a\u0436\u0435 \u0438\u043c\u0435\u0435\u0442 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u0432 \u0432\u0438\u0434\u0443, \u0447\u0442\u043e \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u2014 \u044d\u0442\u043e \u043d\u0435 \u0442\u043e \u0436\u0435 \u0441\u0430\u043c\u043e\u0435, \u0447\u0442\u043e <em>\u043c\u0443\u043b\u044c\u0442\u0438\u043f\u043b\u0438\u043a\u0430\u0442\u0438\u0432\u043d\u0430\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/em> , \u0430 \u0441\u043a\u043e\u0440\u0435\u0435 \u0434\u0432\u0430 \u0440\u0430\u0437\u043d\u044b\u0445 \u043f\u043e\u043d\u044f\u0442\u0438\u044f. \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043c\u0443\u043b\u044c\u0442\u0438\u043f\u043b\u0438\u043a\u0430\u0442\u0438\u0432\u043d\u0443\u044e \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043f\u0440\u043e\u0441\u0442\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043e\u0434\u043d\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0435 \u043f\u043e \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b4bf5aff2d6025747e58082ac697b06d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f^{-1}(x) \\neq \\cfrac{1}{f(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"113\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u0440\u0430\u0437\u0434\u0435\u043b\u0435 \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hallar-la-funcion-inversa\"><\/span> \u041a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f: <\/p>\n<div style=\"padding-top: 30px; padding-bottom: 10px; padding-right: 30px; padding-left: 15px; border: 2px dashed #FF9B28; border-radius:30px; margin-bottom:25px\">\n<ol style=\"color:#FF8A05; font-weight: bold;border:\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u0417\u0430\u043c\u0435\u043d\u0438\u0442\u0435 <em>f(x)<\/em> \u043d\u0430 <em>y<\/em> .<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u0418\u0437\u043c\u0435\u043d\u0438\u0442\u0435 \u0432\u0441\u0435 <em>x<\/em> \u043d\u0430 <em>y<\/em> \u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u041e\u0447\u0438\u0441\u0442\u0438\u0442\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e <em>y<\/em> .<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u0417\u0430\u043c\u0435\u043d\u0438\u0442\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e <em>y<\/em> \u043d\u0430 <em>f <sup>-1<\/sup> (x)<\/em> . \u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u2014 \u044d\u0442\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u043e\u0435 \u0434\u043b\u044f <em>f <sup>-1<\/sup> (x)<\/em> .<\/span><\/li>\n<\/ol>\n<\/div>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u043a\u0430\u043a \u0438\u043c\u0435\u043d\u043d\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7bd000cffbbb2432fd2c53b683d15c5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) =4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0414\u043b\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-824b16de72dde879834460d93bd88610_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"82\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0432\u0441\u0435 \u043c\u0435\u043d\u044f\u0435\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u043e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> , \u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a9c604955a9823146b45d8d7fcf955d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= 4x+5 \\quad \\xrightarrow{x \\ \\rightarrow \\ y \\ ; \\ y \\ \\rightarrow \\ x} \\quad x= 4y+5\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"317\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u043e\u0447\u0438\u0449\u0430\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-526e84c5b87e970b9045246e059785fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a67252387800a0b4cf9d5de3f47992ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4y+5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"82\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5c3b6dd8da6675c67d8d97143338bc7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-5=4y\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"82\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d3b7fce291e0a2e8783d43d7bf3091dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x-5}{4}=y\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"73\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94afb1cafad9006eb47ba582cf925cb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{x-5}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"76\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u2014 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438, \u0432\u044b\u0434\u0435\u043b\u0438\u0432 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-526e84c5b87e970b9045246e059785fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c678d462718983cd6440a900898d488b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f^{-1}(x) = } \\cfrac{\\bm{x-5}}{\\bm{4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-funcion-inversa\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0438\u0436\u0435 \u043c\u044b \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043f\u043e \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f.<\/p>\n<p> \ud83d\udc49 \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u043f\u043e\u043d\u0438\u043c\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0438\u043b\u0438 \u0445\u043e\u0442\u0438\u0442\u0435, \u0447\u0442\u043e\u0431\u044b \u043c\u044b \u0440\u0435\u0448\u0438\u043b\u0438 \u0437\u0430 \u0432\u0430\u0441 \u0437\u0430\u0434\u0430\u0447\u0443, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043d\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u043d\u0430\u043c \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445!<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041f\u0440\u043e\u0432\u0435\u0440\u044c\u0442\u0435, \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043b\u0438 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c\u0438 (\u0438\u043b\u0438 \u0432\u0437\u0430\u0438\u043c\u043d\u044b\u043c\u0438) \u0438\u043b\u0438 \u043d\u0435\u0442: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b15be151088ebf4c65087b5f4e00938_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3x-7\\qquad g(x)=\\cfrac{x+7}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"243\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u0434\u0432\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0431\u044b\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443, \u0434\u043e\u043b\u0436\u043d\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f64196e1a5f56f51ec1b1164eceb60b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f \\circ g)(x)=x \\qquad \\qquad (g \\circ f)(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"286\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044e\u0442\u0441\u044f \u043b\u0438 \u043e\u0431\u0430 \u0443\u0441\u043b\u043e\u0432\u0438\u044f. \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u044f\u0435\u043c <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-11b7c4f21f3fb296e8a27a20cf8d1c3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f \\circ g)(x)=x :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fbbdf5bb2c308a1973c5f2d99e822ad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle\\left(f \\circ g\\right)(x)&amp;= f\\Big(g(x)\\Big)\\\\[2ex]&amp;= f\\left( \\frac{x+7}{3} \\right)\\\\[2ex]&amp;= 3 \\left(\\frac{x +7}{3} \\right) - 7  \\\\[2ex] &amp; =x + 7 - 7 \\\\[2ex]&amp;= \\bm{x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"240\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0415\u0449\u0435,<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76ab7a77ded5af1f65f660a89117dd63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f \\circ g)(x) = x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0434\u0430, \u044d\u0442\u043e \u043e\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0438\u043c\u043e. \u2705<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u043c \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u043e\u0441\u0442\u0430\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7b058926aba155b6b765d5724492a92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g \\circ f)(x)=x :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ac5819584c8358b812c8214a902e4f08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\left(g \\circ f\\right)(x)&amp;= g\\Big(f(x)\\Big)\\\\[2ex]&amp;= g\\left(3x-7\\right)\\\\[2ex]&amp;=\\cfrac{(3x-7)+7}{3}\\\\[2ex]&amp;=\\cfrac{3x}{3}\\\\[2ex]&amp;=\\bm{x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"239\" width=\"196\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u043e\u043c \u0447\u0435\u0433\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f9fbc925d54530fcfa7ee7678e65b952_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g \\circ f)(x) = x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044d\u0442\u043e \u0442\u043e\u0436\u0435 \u043e\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0438\u043c\u043e. \u2705<\/p>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u044d\u0442\u043e \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d3c53166029da197c6e17e19d3809563_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f \\circ g)(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-db26718e178acd21a2f1f266b9a3c3b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g \\circ f)(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u044d\u0442\u0438 \u0434\u0432\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u043c\u0438 \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0443.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e (\u0438\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e) \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u0435\u0440\u0432\u043e\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e230d2b35a28b2bdfc77f06634de138b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-2x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"122\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u0447\u0442\u043e\u0431\u044b \u043e\u0431\u0440\u0430\u0442\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u2014 \u044d\u0442\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u044c \u0447\u043b\u0435\u043d<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0414\u043b\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a4a9dab43d26aecc4bb0ce18ea508c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"}y:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b754ae8eb949f8f8d85ba36ebabb52d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-2x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"96\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> , \u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-653d447dc0dcd501486c99f8cb1d40f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-2x-3 \\ \\xrightarrow{x \\ \\rightarrow \\ y \\ ; \\ y \\ \\rightarrow \\ x} \\ x =-2y-3\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"322\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0442\u043e\u0433\u0434\u0430 \u043c\u044b \u0432\u044b\u043f\u0443\u0441\u043a\u0430\u0435\u043c <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-526e84c5b87e970b9045246e059785fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42c5d877f3a0a6fd971e65ade72afdb9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x =-2y-3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"96\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23c71b5b09a6e2cef29e449dcd1efa16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x +3=-2y\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"96\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9611a1a60c491236193f13a0542011bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x +3}{-2}=y\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"73\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b026add174bb871e220df0191afdbd76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y = \\cfrac{x +3}{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"76\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043c \u0443\u0436\u0435 \u0443\u0434\u0430\u043b\u043e\u0441\u044c \u0432\u044b\u043f\u0443\u0441\u0442\u0438\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> . \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2197f512ad2a7360c966f64b78e75d53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f^{-1}(x) = -} \\cfrac{\\bm{x+3}}{\\bm{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"133\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u0418\u043d\u0432\u0435\u0440\u0442\u0438\u0440\u0443\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0443\u044e \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8200d353eb8e21c4c04f3601fc802489_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0435, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432\u044b\u0448\u0435. \u0418\u0442\u0430\u043a, \u043c\u044b \u043f\u043e\u0437\u0432\u043e\u043d\u0438\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40e51e628d64bea41578e16139b71b6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"43\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d47514334dca13875d8344a469e1c7a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=x^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u043e-\u0432\u0442\u043e\u0440\u044b\u0445, \u043c\u044b \u043c\u043e\u0434\u0438\u0444\u0438\u0446\u0438\u0440\u0443\u0435\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0434\u043b\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> , \u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-29de23ff2053fc75656c8ff4d7fa41a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=x^2-1 \\ \\xrightarrow{x \\ \\rightarrow \\ y \\ ; \\ y \\ \\rightarrow \\ x} \\ x =y^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"291\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0438\u0437\u043e\u043b\u0438\u0440\u0443\u0435\u043c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-526e84c5b87e970b9045246e059785fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e69105ebcca11f4a74f3f3657e3e6440_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x =y^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"80\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5728627e7e38f4515904dee980b00694_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x+1=y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"81\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1cccfbd1b731987173cb8242913f3015_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{x+1}=y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a8de5ae78dde4cbb3d501a56dec92e6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\pm \\sqrt{x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041e\u0434\u043d\u0430\u043a\u043e \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u0434\u0432\u0430 \u043e\u0431\u0440\u0430\u0437\u0430 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u0441\u0432\u043e\u0435\u0439 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f (\u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043e\u0431\u0440\u0430\u0437 \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043e\u0431\u0440\u0430\u0437). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, <strong>\u043d\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/strong> \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e (\u0438\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e) \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a7ccc4e4bbef9c4997233bfc9271bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{x-1}{2x+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u0437\u0430\u043c\u0435\u043d\u0438\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0414\u043b\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-526e84c5b87e970b9045246e059785fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-15a4196ec4380923616fae6f09302cb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{x-1}{2x+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"85\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043c\u0435\u043d\u044f\u0435\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> , \u0438 \u043d\u0430\u043e\u0431\u043e\u0440\u043e\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf93d67efcb45f42b278c4bbdd134482_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{x-1}{2x+3} \\ \\xrightarrow{x \\ \\rightarrow \\ y \\ ; \\ y \\ \\rightarrow \\ x} \\ x=\\cfrac{y-1}{2y+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"298\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0442\u043e\u0433\u0434\u0430 \u043c\u044b \u0432\u044b\u043f\u0443\u0441\u043a\u0430\u0435\u043c <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-526e84c5b87e970b9045246e059785fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5501ae45c059ce0992ae626ae90dccd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{y-1}{2y+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"85\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c3535e891270ab3ae4ed4aad6a498984_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2y +3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0434\u0435\u043b\u0438\u0442 \u0432\u0441\u044e \u043f\u0440\u0430\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0435\u0435, \u0443\u043c\u043d\u043e\u0436\u0438\u0432 \u0432\u0441\u044e \u043b\u0435\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a7e58aaef340adec944945b7feb0f8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\cdot (2y+3)=y-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"148\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b837ac50ef3677cc95e0a2d439a76d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2yx+3x=y-1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"132\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041c\u044b \u0441\u0442\u0430\u0432\u0438\u043c \u0432\u0441\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u044f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0441 \u043e\u0434\u043d\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0430 \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0435 \u0447\u043b\u0435\u043d\u044b \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-525563a5b84daff8946bfe896e5d30d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2yx-y=-3x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"145\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043e\u0447\u0438\u0441\u0442\u0438\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-42796b3d2f8b77c564fefa868de8d64a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"}y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> , \u043c\u044b \u0438\u0437\u0432\u043b\u0435\u043a\u0430\u0435\u043c \u043e\u0431\u0449\u0438\u0439 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u044c \u0438\u0437 \u043b\u0435\u0432\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d21c3a81a922f2d84a75a4568b97dae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(2x-1)=-3x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043a\u0430\u043a \u043f\u043e\u0447\u0442\u0430\u043b\u044c\u043e\u043d<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cbbee5c6fcee058c32f9f067554f4679_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"62\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0432 \u0442\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0432\u0441\u044e \u043b\u0435\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u044d\u0442\u043e, \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0432 \u0432\u0441\u044e \u043f\u0440\u0430\u0432\u0443\u044e \u0447\u0430\u0441\u0442\u044c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ac1a61f0a3683aa8cde1c6ad21a1cae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{-3x-1}{2x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"107\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043c \u0443\u0436\u0435 \u0443\u0434\u0430\u043b\u043e\u0441\u044c \u0432\u044b\u043f\u0443\u0441\u0442\u0438\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> . \u0418\u0442\u0430\u043a, \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0412\u043e\u0441\u0442\u043e\u043a: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-40fd07fe81e86ffb37c7b857f43a140f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f^{-1}(x)=} \\cfrac{\\bm{-3x-1}}{\\bm{2x-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"138\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-inversa\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul>\n<li> \u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u0430, \u0442\u043e \u0435\u0441\u0442\u044c \u0435\u0441\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0431\u0440\u0430\u0442\u0438\u043c\u0430, \u0442\u043e \u0434\u043b\u044f \u044d\u0442\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u043d\u0430 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f.<\/li>\n<\/ul>\n<ul>\n<li> \u041e\u0431\u043b\u0430\u0441\u0442\u044c\u044e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d (\u0438\u043b\u0438 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d) \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/li>\n<\/ul>\n<ul>\n<li> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e, \u043f\u0443\u0442\u044c \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/li>\n<\/ul>\n<ul>\n<li> \u041b\u044e\u0431\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u0430\u044f \u0438\u0437 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u0430\u0435\u0442 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e (x).<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8209c8ece304984d292d18d3f5968fb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f\\circ f^{-1})(x)=(f^{-1}\\circ f)(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0413\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438 \u0433\u0440\u0430\u0444\u0438\u043a \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0431\u0438\u0441\u0441\u0435\u043a\u0442\u0440\u0438\u0441\u044b \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0438 \u0442\u0440\u0435\u0442\u044c\u0435\u0433\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u043d\u0442\u043e\u0432.<\/li>\n<\/ul>\n<ul>\n<li> \u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0440\u0430\u0432\u043d\u0430 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-53db614ba7e0fdd5be384f53e05c6d18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(f^{-1}\\right)^{-1}=f\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"95\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0418\u043d\u0432\u0435\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044e \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u043a\u0430\u0436\u0434\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e \u0438 \u043f\u043e\u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044e \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e5f9cc891e8322cf737caf8fa76a92f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f\\circ g)^{-1}=f^{-1}\\circ g^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0434\u043d\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u043e \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u0430 \u0441\u043e \u0441\u0432\u043e\u0435\u0439 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439, \u0438\u043b\u0438, \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0435\u0441\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u0430, \u0442\u043e \u0438 \u0435\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0439.<\/li>\n<\/ul>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0440\u0443\u0435\u043c\u0430 \u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043d\u0438\u043a\u043e\u0433\u0434\u0430 \u043d\u0435 \u0438\u0441\u0447\u0435\u0437\u0430\u0435\u0442\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7e8b3cc99b3a65d07a0bfbdd9680062_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u0442\u043e \u0435\u0433\u043e \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043a\u0436\u0435 \u0431\u0443\u0434\u0435\u0442 \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0440\u0443\u0435\u043c\u043e\u0439.<\/li>\n<\/ul>\n<p> \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c, \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0432 <strong>\u0442\u0435\u043e\u0440\u0435\u043c\u0443 \u043e\u0431 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/strong> , \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u043a\u043e\u0442\u043e\u0440\u043e\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1aa57f06b0b96e0900dd47e0bf4ad66c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(f^{-1}\\right)'(y)=\\cfrac{1}{f'(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"139\" style=\"vertical-align: -17px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f (\u0438\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0438 \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043b\u0435\u0433\u043a\u043e \u0443\u0437\u043d\u0430\u0442\u044c, \u0438\u043c\u0435\u0435\u0442 \u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u043e\u0431\u0440\u0430\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0438\u043b\u0438 \u043d\u0435\u0442, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435 \u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u044d\u0442\u043e\u0433\u043e \u0442\u0438\u043f\u0430. \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043e\u0431\u0440\u0430\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f? \u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0442\u0430\u043a\u0436\u0435 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d0%be%d0%b1%d1%80%d0%b0%d1%82%d0%bd%d0%b0%d1%8f-%d0%b8%d0%bb%d0%b8-%d0%be%d0%b1%d1%80%d0%b0%d1%82%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d1%8f\/\"> <span class=\"screen-reader-text\">\u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f (\u0438\u043b\u0438 \u043e\u0431\u0440\u0430\u0442\u043d\u0430\u044f) \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-19","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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