{"id":18,"date":"2023-09-17T11:10:24","date_gmt":"2023-09-17T11:10:24","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d0%ba%d0%be%d0%bc%d0%bf%d0%be%d0%b7%d0%b8%d1%86%d0%b8%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d0%b8-%d1%81%d0%be%d1%81%d1%82%d0%b0%d0%b2%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8\/"},"modified":"2023-09-17T11:10:24","modified_gmt":"2023-09-17T11:10:24","slug":"%d0%ba%d0%be%d0%bc%d0%bf%d0%be%d0%b7%d0%b8%d1%86%d0%b8%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d0%b8-%d1%81%d0%be%d1%81%d1%82%d0%b0%d0%b2%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d0%ba%d0%be%d0%bc%d0%bf%d0%be%d0%b7%d0%b8%d1%86%d0%b8%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d0%b8-%d1%81%d0%be%d1%81%d1%82%d0%b0%d0%b2%d0%bd%d0%b0%d1%8f-%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8\/","title":{"rendered":"\u041a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439 (\u0441\u043e\u0441\u0442\u0430\u0432\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 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f (\u0438\u043b\u0438 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \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 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \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 \u0434\u043b\u044f \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-composicion-de-funciones\"><\/span> \u0427\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 class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u041a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 <strong>\u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e<\/strong> \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043e\u0434\u043d\u043e\u0433\u043e \u0438 \u0442\u043e\u0433\u043e \u0436\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 (x) \u0432 \u0434\u0432\u0443\u0445 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u0445.<\/strong> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 (gof)(x) \u0434\u0430\u0435\u0442 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e g[f(x)]. <\/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\/composition-des-fonctions.webp\" alt=\"\u0441\u043e\u0441\u0442\u0430\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439\" class=\"wp-image-637\" width=\"319\" height=\"115\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0412\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0441\u043b\u043e\u0436\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-5e3eba5c152156d18705b3afd68f487e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\circ f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"36\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u043c\u044b \u0447\u0438\u0442\u0430\u0435\u043c \u00abf, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u043e\u0435 \u0438\u0437 g\u00bb \u0438\u043b\u0438 \u00abf, \u0437\u0430 \u043a\u043e\u0442\u043e\u0440\u044b\u043c \u0441\u043b\u0435\u0434\u0443\u0435\u0442 g\u00bb.<\/p>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u0432\u0430\u0436\u0435\u043d \u043f\u0440\u0438 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u043f\u0440\u0430\u0432\u0430 \u043e\u0442 \u0441\u0438\u043c\u0432\u043e\u043b\u0430 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\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-876a58c2d2bc4ab866c0af7a5cdbf4b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0442\u043e\u0433\u0434\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u043b\u0435\u0432\u0430 \u043e\u0442 \u0441\u0438\u043c\u0432\u043e\u043b\u0430 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\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-e6c9247c09d7827160e8316d83ce2b2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"26\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-composicion-de-funciones\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439<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 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044e \u0434\u0432\u0443\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439.<\/p>\n<ul>\n<li> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0440\u0430\u0437\u043d\u044b\u0435 \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-a9c8e90e6e8bb1e0837f424caaf5d1a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=3x+1 \\qquad g(x)=\\cfrac{x+4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"243\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u043e\u0441\u0442\u0430\u0432\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-624e8051bd11c44546f1270c91d069ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0438 \u043e\u0446\u0435\u043d\u0438\u0442\u044c \u0435\u0433\u043e \u0432<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf60bc9fcf312a246a055c15ee98033c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0421\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-624e8051bd11c44546f1270c91d069ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u043e\u0441\u0442\u0430\u0432\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-cb23add9f37be01b1ebf5923aef845ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(x) = g\\Big(f(x)\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"162\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u043b\u044f \u0435\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u044f \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> \u043f\u043e \u0435\u0433\u043e \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\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-179039983ee415873b7367ac255c1023_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\Big(f(x)\\Big)= g\\Big(3x+1\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"166\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p> \u0418 \u0442\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u0431\u0435\u0440\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e<em> <\/em><\/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-8d124ddf8086d5d941fcb1de7c075c0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=\\cfrac{x+4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" style=\"vertical-align: -12px;\"><\/p>\n<p>\u0438 \u043c\u044b \u043f\u043e\u043c\u0435\u0449\u0430\u0435\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e4b24384ffd361d326faea85da151496_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"49\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u0433\u0434\u0435 \u0435\u0441\u0442\u044c \u043e\u0434\u0438\u043d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-845f2902b8bebf60c3c7372a7fbe4d02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"19\" style=\"vertical-align: 0px;\"><\/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-9407b8a097013423f71626368a65940b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\Big(3x+1\\Big)=\\cfrac{(3x+1)+4}{2}=\\cfrac{3x+5}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"275\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043c\u044b \u0443\u0436\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e <em>f<\/em> , \u0441\u043e\u0441\u0442\u043e\u044f\u0449\u0443\u044e \u0438\u0437 <em>g<\/em> :<\/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-b46e81ab3496bd4daad7560eabda1caa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(x)=\\cfrac{3x+5}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"152\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0432<\/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-3573bf1ea4c223bb71878796b2106731_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u041f\u0440\u043e\u0441\u0442\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043e\u0431\u0440\u0430\u0437 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\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-b1a5472ce52fe01b6809224912a25539_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(3)=\\cfrac{3\\cdot 3+5}{2}=\\cfrac{14}{2}=7\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"237\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"dominio-de-la-funcion-compuesta\"><\/span> \u041e\u0431\u043b\u0430\u0441\u0442\u044c \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u0431\u044b\u0447\u043d\u043e, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u043c \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u043d\u0430\u0434 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u043c\u0438, \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0438\u0440\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u0435\u043c \u043e\u0431\u043b\u0430\u0441\u0442\u0435\u0439 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0438\u0441\u0445\u043e\u0434\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439. \u041e\u0434\u043d\u0430\u043a\u043e \u044d\u0442\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e \u043d\u0435 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442\u0441\u044f \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0439.<\/p>\n<p> <strong>\u041e\u0431\u043b\u0430\u0441\u0442\u044c \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439<\/strong><\/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-a1e321d1fe5674142070eefd17519b77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g\\circ f)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u0443 \u0432\u0441\u0435\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 x \u0432 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \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-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0442\u0430\u043a\u043e\u0439 \u043a\u0430\u043a<\/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> \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \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-dce98a79808d5694e9c7a9f4545e45f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" 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-cf27df12b66bbfdc7516fe47410cbf5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(g\\circ f)=\\{x\\in\\text{Dom}(f)\\ | \\ f(x)\\in \\text{Dom}(g)\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0439\u0442\u0438 \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043a\u0430\u0436\u0434\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e, \u0430 \u0437\u0430\u0442\u0435\u043c \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0439 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0431\u0443\u0434\u0435\u0442 \u0441\u043e\u0441\u0442\u043e\u044f\u0442\u044c \u0438\u0437 \u0432\u0441\u0435\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439, \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u044e\u0449\u0438\u0445 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u043c\u0443 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u043c\u0443 \u0443\u0441\u043b\u043e\u0432\u0438\u044e.<\/p>\n<p> \ud83d\udc49 \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0435\u0441\u043b\u0438 \u0432\u044b \u0441\u0442\u043e\u043b\u043a\u043d\u0443\u043b\u0438\u0441\u044c \u0441 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u043e\u0439, \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043d\u0435 \u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0440\u0435\u0448\u0438\u0442\u044c, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0437\u0430\u0434\u0430\u0442\u044c \u0435\u0435 \u043d\u0430\u043c \u0432 \u043a\u043e\u043c\u043c\u0435\u043d\u0442\u0430\u0440\u0438\u044f\u0445 \u043d\u0438\u0436\u0435! <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-composicion-de-funciones\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\u043e\u0441\u0442\u0430\u0432\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438\u043c\u0435\u044e\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> \u041a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043e\u0431\u043b\u0430\u0434\u0430\u0435\u0442 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e\u043c \u0430\u0441\u0441\u043e\u0446\u0438\u0430\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u0441\u0435\u0433\u0434\u0430 \u0441\u043f\u0440\u0430\u0432\u0435\u0434\u043b\u0438\u0432\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/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-bdfe1df3ab8d42f8d2af7f0d33628dba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\circ (g\\circ h)=(f\\circ g)\\circ h\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"178\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0412 \u043e\u0431\u0449\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043d\u0435 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u043e\u043c\u043c\u0443\u0442\u0430\u0442\u0438\u0432\u043d\u043e\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043f\u043e\u0440\u044f\u0434\u043e\u043a \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442:<\/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-a641ded39b05f710e2cbc89f7c309275_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\circ g\\neq g\\circ f\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"96\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041d\u0435\u0439\u0442\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u0441\u043e\u0441\u0442\u0430\u0432\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da6458e64d1478ad56231146ce88db89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043b\u044e\u0431\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u0430\u044f \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0430, \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442 \u043a \u0441\u0430\u043c\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-161782350ae4c16617cbe0795e0fa35a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\circ id = id \\circ f = f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"143\" 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-d5ce8a7d2dbca796654cb483808271e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"id = x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"49\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0434\u0432\u0443\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0445\u043e\u0436\u0434\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, \u0430 \u0437\u0430\u0442\u0435\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e \u0441\u043e\u0441\u0442\u0430\u0432\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-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> \u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0442\u0430\u043a\u0436\u0435 \u0432\u044b\u0441\u0442\u0443\u043f\u0430\u0435\u0442 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u043c \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u043c \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u0439 \u0435\u0439 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u0435\u043d\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-b801f112fdb719fad2b8c605ad831f0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f\\circ f^{-1})^{-1}=(f^{-1}\\circ f)=id=x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"254\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0434\u0432\u0443\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u043e \u0446\u0435\u043f\u043d\u043e\u043c\u0443 \u043f\u0440\u0430\u0432\u0438\u043b\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-edf8bcb549ad025afce59e50c1cfbb94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(g\\circ f\\bigr)'(x)=g'\\Bigl(f(x)\\Bigr)\\cdot f'(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"223\" style=\"vertical-align: -11px;\"><\/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;\"> \u043a\u0430\u043a\u043e\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u0446\u0435\u043f\u043e\u0447\u043a\u0438? <\/span> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-composicion-de-funciones\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u043e\u0441\u0442\u0430\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \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-8d22ce1010c1d1f2baa34bd5b96e4ca8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x-2 \\qquad g(x)= 5x + 4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"241\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 <em>f<\/em> , \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044b\u0445 \u0438\u0437 <em>g<\/em> , \u0438 <em>g,<\/em> \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044b\u0445 \u0438\u0437 <em>f<\/em> . <\/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-a1e321d1fe5674142070eefd17519b77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g\\circ f)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" 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-8e664a72ceacc815125057558ab04c6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f\\circ g)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" 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\"> \u0421\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-624e8051bd11c44546f1270c91d069ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u043b\u043e\u0436\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-cb23add9f37be01b1ebf5923aef845ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(x) = g\\Big(f(x)\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"162\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u044d\u0442\u0443 \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0443, \u043c\u044b \u0437\u0430\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-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> \u0434\u043b\u044f \u0435\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\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-cc434b7ab7aea14a249be3943671119b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" 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-13cb5a87becd27ff70f8fb5fb3b13239_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\Big(f(x)\\Big)= g\\Big(x-2\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"157\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418<\/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-bf53f7369c2b0dfc1c60397d3dab8cd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\Big(x-2\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"68\" style=\"vertical-align: -11px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0432 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\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-a63a5d2293c895c25f8684ae82cefbf8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x) =5x+4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u0442\u044c \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u0443\u044e<\/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> \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-4f860e374f2a5f611e892f304ee0cc2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-2:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"50\" style=\"vertical-align: 0px;\"><\/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-575d7c9f8dde8d78c1dd910ba1557ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\Big(x-2\\Big) = 5(x-2) +4= 5x-10+4 = 5x-6\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"374\" style=\"vertical-align: -11px;\"><\/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-df045f4ebc5cdfdcbd99a12307235058_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\left(g \\circ f\\right)(x) = 5x-6}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e <em>g<\/em> , \u0441\u043e\u0441\u0442\u043e\u044f\u0449\u0443\u044e \u0438\u0437 <em>f<\/em> , \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043f\u0440\u043e\u0434\u0435\u043b\u0430\u0442\u044c \u0442\u0443 \u0436\u0435 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443, \u043d\u043e \u0432 \u043e\u0431\u0440\u0430\u0442\u043d\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\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-2e9be8f1bab4b7607441c7c1b7e3ad0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\left(f \\circ g\\right)(x)&amp;= f\\Big(g(x)\\Big)\\\\[2ex]&amp;=f\\Big(5x+4\\Big)\\\\[2ex]&amp;=(5x+4)-2\\\\[2ex]&amp;=\\bm{5x+2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"167\" width=\"193\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u042d\u0442\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 \u0442\u0430\u043a\u0436\u0435 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0443\u0435\u0442 \u0442\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e, \u0447\u0442\u043e \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043a\u043e\u043c\u043c\u0443\u0442\u0430\u0442\u0438\u0432\u043d\u044b\u043c\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439.<\/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> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \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-3e7ff3894ffbafb8d56296b5b3d0a080_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x) =x^2-3 \\qquad g(x)=\\frac{2x+3}{x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"251\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0439 <em>f<\/em> , \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044b\u0445 \u0438\u0437 <em>g<\/em> . <\/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-a1e321d1fe5674142070eefd17519b77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g\\circ f)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" 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\"> \u0424\u0443\u043d\u043a\u0446\u0438\u044f <em>f,<\/em> \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u0430\u044f \u0438\u0437 <em>g<\/em> , \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u043e\u0441\u0442\u0430\u0432\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-cb23add9f37be01b1ebf5923aef845ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(x) = g\\Big(f(x)\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"162\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0437\u0430\u043c\u0435\u043d\u044f\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e f(x) \u0435\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\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-28b41bd35ba991a996cf3a890aaeadf8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\Big(f(x)\\Big)= g\\Big(x^2-3 \\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"165\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0442\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u043e\u0438\u0442 \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-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> \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-ce3abcbe3e7405ea80705e3c169ae20d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 g(x):<\/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-bf0bb412f9088845027b57d83a91073d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}g\\Big(x^2-3\\Big)&amp;=\\cfrac{2(x^2-3)+3}{(x^2-3)+4}\\\\[2ex]&amp;=\\cfrac{2x^2-6+3}{x^2+1}\\\\[2ex]&amp;=\\cfrac{2x^2-3}{x^2+1}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"175\" width=\"206\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \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-6d625dc7f6b8e7af0988037119d473f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\left(g \\circ f\\right)(x) =} \\cfrac{\\bm{2x^2-3}}{\\bm{x^2+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"155\" style=\"vertical-align: -14px;\"><\/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> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u044b\u0435 \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-a594c87e42327318112e78714904aa81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x) =x^2 \\qquad g(x)=g(x)= x^2-4x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"314\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \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-b7186993d7a14fceff2669b6d3f10585_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g\\circ f)(2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" 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-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-706bfe49f02e183102e665a522eb803c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0441\u043b\u043e\u0436\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-217743a7af2baefbc83e1c377f3f804f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(2) = g\\Big(f(2)\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"160\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043c\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\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-7bd87dc0308123b84fbe51bb86e0b009_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2) :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" 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-c3421a45cc1c0ad35b18520e81ddc031_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" 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-671b30c79ed994c1923982d4a09d2eae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2)=2^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u043e\u044d\u0442\u043e\u043c\u0443, \u043a\u0430\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-69585295dd3a781afd9ebde9750865bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(2)=4 :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"75\" 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-f64414212eaa56a80be0b0ac9bd1be23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(g \\circ f\\right)(2) = g\\Big(f(2)\\Big) = g\\big(4\\big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"218\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0432\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\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-e05e67fe2bbccdbd12d182052a93df62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(4) :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"41\" 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-9fc21e0e44e696ed36cd6e9a535cff09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\left(g \\circ f\\right)(2)&amp;=g\\Big(f(2)\\Big)\\\\[2ex]&amp;= g\\big(4\\big)\\\\[2ex]&amp;=4^2-4\\cdot 4+8 \\\\[2ex]&amp;= 16 - 16 + 8\\\\[2ex]&amp;= 8\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"198\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u043a\u0440\u0430\u0442\u0446\u0435, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0437\u0430\u0434\u0430\u0447\u0438 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0442\u0430\u043a\u043e\u0432: <\/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-8d3e091b61117ac43ec8d17d4aa1d5b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\left(g \\circ f\\right)(2) =8}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/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 4<\/h3>\n<p> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \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-0dabd181964a078fe5348b19efc168d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{2x-2}{-x+7}\\qquad g(x)= x^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"256\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 <em>g<\/em> , \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044b\u0439 \u0441 <em>f<\/em> \u0432 \u0442\u043e\u0447\u043a\u0435 x=2: <\/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-47390afb10cf5e3de6b0ff87edeff73b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f\\circ g)(2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" 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\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u043e\u0441\u0442\u0430\u0432\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-e6de0edda1d8a4151fc88faa013a012e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(f \\circ g\\right)(2) = f\\Big(g(2)\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"160\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u043d\u0430\u0445\u043e\u0434\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-809314c764c52d861c5b9671f5139d5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(2) :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"41\" 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-c4f1e7070d6f986eac4f1483f9a30198_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=x^2-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"104\" 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-94e98ec0f41ba6635ee79cf96968e7ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(2)=2^2-1=4-1 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u0442\u0430\u043a, \u043a\u0430\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-82da28e3a6fb3ea74c8e8ef8d022b202_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(2)=3 :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"73\" 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-bfe82e73b68c3b618cb0795bb6530af7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(f \\circ g\\right)(2) = f\\Big(g(2)\\Big) = f\\big(3\\big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"219\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u0441\u043b\u043e\u0436\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\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-b6d1361868e53506ddeca640a71aa321_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3) :\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" 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-9ec461a36a477af7bc703fd48bc3d4c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\left(f \\circ g\\right)(2)&amp;=f\\Big(g(2)\\Big)\\\\[2ex]&amp;= f\\big(3\\big)\\\\[2ex]&amp;=\\cfrac{2\\cdot 3-2}{-3+7}\\\\[2ex]&amp;=\\cfrac{6-2}{-3+7}\\\\[2ex]&amp;=\\cfrac{4}{4}\\\\[2ex]&amp;=1\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"305\" width=\"162\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u0437\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u0441\u043b\u043e\u0436\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\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-8860734e1b816965b945b8ddf117912d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\left(f \\circ g\\right)(2)=1}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/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 5<\/h3>\n<p> \u0423\u0447\u0438\u0442\u044b\u0432\u0430\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0442\u0440\u0438 \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-cde9a25a0c078e5e4491aef0682310d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x+1 \\qquad g(x)= 3x - 5\\qquad h(x) = \\sqrt{x} - 3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"389\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044e \u0438\u0437 \u0442\u0440\u0435\u0445 \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-2ff91e1d3fdea1de8b629e4c17cee6fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(h \\circ g \\circ f )(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" 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\"> \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-cf14fee9bc19b3aaefabcac820afb69b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(h \\circ g \\circ f\\right)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u042d\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u043e\u0441\u0442\u0430\u0432\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-b6525a7b5ac0a86cc710225df5ebdf7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(h \\circ g \\circ f\\right)(x) = h \\bigg( g\\Big(f(x)\\Big) \\bigg)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"225\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418\u0442\u0430\u043a, \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\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-0efee4b8fc162ee4ee30c15f1dac01c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\Big( f(x)\\Big):\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"74\" style=\"vertical-align: -11px;\"><\/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-a0ab9465f2aebf9fb7c81298eab5b8ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}g\\Big( f(x)\\Big)&amp;=g\\Big(x+1 \\Big)\\\\[2ex]&amp;= 3(x+1)-5\\\\[2ex]&amp;= 3x+3-5\\\\[2ex]&amp;= 3x-2\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"154\" width=\"181\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u0447\u0438\u0442\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-0512ac0197a64c0dce8e3a14b97efd1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h \\bigg( g\\Big(f(x)\\Big) \\bigg)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"98\" style=\"vertical-align: -17px;\"><\/p>\n<p> . \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0437\u0430\u043c\u0435\u043d\u0438\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u043e\u0435 \u0438\u0437<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fde695528fc22ce481c7750cd392927_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\\Big(f(x)\\Big)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"62\" style=\"vertical-align: -11px;\"><\/p>\n<p> \u0433\u0434\u0435 \u043f\u043e\u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f<\/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> \u0432 \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-240be4d8f4d59436eb46fefb7d2f7633_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h(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-89fbb7189eaf2dd3c622466c7313806d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}h \\bigg( g\\Big(f(x)\\Big) \\bigg)&amp;= h \\bigg(3x-2\\bigg)\\\\[2ex]&amp;= \\sqrt{3x-2} - 3\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"83\" width=\"220\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041c\u044b \u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u0434\u0430\u043b\u044c\u0448\u0435 \u0443\u043f\u0440\u043e\u0449\u0430\u0442\u044c \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0442\u0440\u0435\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442 \u043a \u0438\u0440\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-d3d99aa6d620db9304fa7121387dfd95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\left(h \\circ g \\circ f\\right)(x) =\\sqrt{3x-2} - 3 }\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\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 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f (\u0438\u043b\u0438 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0441\u043e\u0441\u0442\u0430\u0432\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043e\u0431\u043b\u0430\u0441\u0442\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \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 \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \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 \u0434\u043b\u044f \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439? \u041a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e 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