{"id":16,"date":"2023-09-17T11:09:46","date_gmt":"2023-09-17T11:09:46","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%8f%8d%e5%87%bd%e6%95%b0%e6%88%96%e5%80%92%e6%95%b0%e5%87%bd%e6%95%b0\/"},"modified":"2023-09-17T11:09:46","modified_gmt":"2023-09-17T11:09:46","slug":"%e5%8f%8d%e5%87%bd%e6%95%b0%e6%88%96%e5%80%92%e6%95%b0%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%8f%8d%e5%87%bd%e6%95%b0%e6%88%96%e5%80%92%e6%95%b0%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u53cd\u51fd\u6570\uff08\u6216\u5012\u6570\uff09"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u53cd\u51fd\u6570\uff08\u6216\u5012\u6570\uff09\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u51fd\u6570\u7684\u53cd\u51fd\u6570\u3002\u60a8\u8fd8\u5c06\u4e86\u89e3\u5982\u4f55\u8f7b\u677e\u4e86\u89e3\u51fd\u6570\u662f\u5426\u5177\u6709\u53cd\u51fd\u6570\u4ee5\u53ca\u6b64\u7c7b\u51fd\u6570\u7684\u5c5e\u6027\u3002\u6700\u540e\uff0c\u60a8\u53ef\u4ee5\u901a\u8fc7\u53cd\u51fd\u6570\u7684\u5206\u6b65\u7ec3\u4e60\u8fdb\u884c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-funcion-inversa\"><\/span>\u4ec0\u4e48\u662f\u53cd\u51fd\u6570\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u53cd\u51fd\u6570\uff0c\u53c8\u79f0\u5012\u51fd\u6570\uff0c\u662f\u6307\u5b9a\u4e49\u57df\u4e3a\u53e6\u4e00\u4e2a\u51fd\u6570\uff08\u539f\u51fd\u6570\uff09\u7684\u503c\u57df\uff0c\u4e14\u5176\u503c\u57df\u4e3a\u539f\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u7684\u51fd\u6570\u3002\u51fd\u6570<em>f<\/em>\u7684\u53cd\u51fd\u6570\u7528\u7b26\u53f7<em>f <sup>-1<\/sup><\/em>\u8868\u793a\u3002<\/strong><\/p>\n<p>\u56e0\u6b64\uff0c <em>f(x)<\/em>\u7684\u53cd\u51fd\u6570\u662f\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u7684\u51fd\u6570\uff1a <\/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=\"\u53cd\u51fd\u6570\u6216\u5012\u6570\u51fd\u6570\" class=\"wp-image-685\" width=\"208\" height=\"210\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u91d1\u5b50<\/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>\u662f\u7684\u53cd\u51fd\u6570<\/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>\u53cd\u51fd\u6570\u7684\u6982\u5ff5\u4e5f\u53ef\u4ee5\u4f7f\u7528\u51fd\u6570\u7ec4\u5408\u6765\u5b9a\u4e49\uff0c\u56e0\u4e3a\u4efb\u4f55\u7531\u5176\u53cd\u51fd\u6570\u7ec4\u6210\u7684\u51fd\u6570\u90fd\u7b49\u4e8e\u6052\u7b49\u51fd\u6570\uff1a<\/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>\u770b\uff1a<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u51fd\u6570\u7684\u590d\u5408-\u590d\u5408\u51fd\u6570\/\">\u4ec0\u4e48\u662f\u51fd\u6570\u7ec4\u5408\uff1f<\/a><\/span><\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u524d\u9762\u7684\u7b49\u5f0f\u6210\u7acb\uff0c\u5219\u610f\u5473\u7740<\/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>\u662f\u4ee5\u4e0b\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff08\u6216\u5012\u6570\u51fd\u6570\uff09 <\/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>\u53cd\u51fd\u6570\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7ed9\u51fa\u4e86\u53cd\u51fd\u6570\u7684\u5b9a\u4e49\uff0c\u8ba9\u6211\u4eec\u89e3\u51b3\u4e00\u4e2a\u4f8b\u5b50\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u5b83\u7684\u542b\u4e49\u3002<\/p>\n<ul>\n<li>\u5224\u65ad\u4e0b\u5217\u51fd\u6570\u662f\u5426\u4e92\u4e3a\u53cd\u51fd\u6570\uff1a<\/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>\u5982\u679c\u4e24\u4e2a\u51fd\u6570\u4e92\u4e3a\u53cd\u51fd\u6570\uff0c\u5219\u6ee1\u8db3\u4ee5\u4e0b2\u4e2a\u6761\u4ef6\uff1a<\/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>\u56e0\u6b64\uff0c\u8ba9\u6211\u4eec\u68c0\u67e5\u4e24\u4e2a\u65b9\u7a0b\u662f\u5426\u90fd\u6ee1\u8db3\u3002\u6211\u4eec\u9996\u5148\u68c0\u67e5<\/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 \u5982\u679c\u4f60\u4e0d\u660e\u767d\u6211\u4eec\u521a\u624d\u7684\u8ba1\u7b97\uff0c\u4f60\u9700\u8981\u53bb\u4e0a\u9762\u7684\u94fe\u63a5<em>\u51fd\u6570\u7684\u7ec4\u6210\u662f\u4ec0\u4e48\uff1f<\/em> \uff0c\u6211\u4eec\u89e3\u91ca\u4e00\u4e0b\u5982\u4f55\u7528\u51fd\u6570\u6765\u89e3\u51b3\u6b64\u7c7b\u64cd\u4f5c\u3002<\/p>\n<p>\u4ee5\u4fbf<\/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>\u662f\u7684\uff0c\u5df2\u7ecf\u5b8c\u6210\u4e86\u3002 \u2705<\/p>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u68c0\u67e5\u4e00\u4e0b\u76f8\u7b49\u6027<\/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>\u4ee5\u53ca\u53ef\u9006\u6027\u6761\u4ef6<\/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>\u8fd9\u4e5f\u5b8c\u6210\u4e86\u3002 \u2705<\/p>\n<p>\u603b\u4e4b\uff0c\u7531\u4e8e\u4e24\u4e2a\u65b9\u7a0b\u90fd\u6210\u7acb\uff0c\u56e0\u6b64<strong>\u8fd9\u4e24\u4e2a\u51fd\u6570\u4e92\u4e3a\u53cd\u51fd\u6570\u3002<\/strong><\/p>\n<p>\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u770b\u5230\u8fd9\u4e24\u4e2a\u51fd\u6570\u7684\u56fe\u8868\u3002\u8bf7\u6ce8\u610f\uff0c<strong>\u4e24\u4e2a\u53cd\u51fd\u6570\u7684\u56fe\u5f62\u5173\u4e8e\u7b2c\u4e00\u548c\u7b2c\u4e09\u8c61\u9650\u7684\u5e73\u5206\u7ebf\u5bf9\u79f0<\/strong>\uff1a <\/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=\"\u53cd\u51fd\u6570\" 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>\u5982\u4f55\u5224\u65ad\u4e00\u4e2a\u51fd\u6570\u662f\u5426\u6709\u53cd\u51fd\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5982\u679c\u4e00\u4e2a\u51fd\u6570\u662f\u5355\u5c04\u51fd\u6570<\/strong>\uff0c\u5373\u5982\u679c\u5176\u6574\u4e2a\u57df\u4e2d\u7684\u6bcf\u4e2a\u503c\u5bf9\u5e94\u4e8e\u5176\u533a\u95f4\u4e2d\u7684\u5355\u4e2a\u503c\uff0c\u5219\u8be5\u51fd\u6570\u5177\u6709\u53cd\u51fd\u6570\u3002 <\/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;\">\u5177\u6709\u53cd\u51fd\u6570\u7684\u6307\u6570\u51fd\u6570<\/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;\">\u65e0\u53cd\u51fd\u6570\u7684\u4e8c\u6b21\u51fd\u6570<\/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>\u4f8b\u5982\uff0c\u5de6\u6307\u6570\u51fd\u6570\u5177\u6709\u53cd\u51fd\u6570\uff0c\u56e0\u4e3a\u6bcf\u4e2a<em>x<\/em>\u5bf9\u5e94\u4e8e<em>f(x)<\/em>\u7684\u5355\u4e2a\u503c\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u53f3\u4e8c\u6b21\u51fd\u6570\u6ca1\u6709\u53cd\u51fd\u6570\uff0c\u56e0\u4e3a\u5b83\u6709\u51e0\u4e2a\u56fe\u50cf\u76f8\u7b49\u7684<em>x<\/em>\u503c\uff08\u4f8b\u5982<em>f(1)=f(3)=2\uff09<\/em> \u3002<\/p>\n<p>\u7c7b\u4f3c\u5730\uff0c\u53cc\u5c04\u51fd\u6570\u7531\u65e2\u662f\u5355\u5c04\u53c8\u662f\u6ee1\u5c04\u7684\u51fd\u6570\u7ec4\u6210\uff0c\u56e0\u6b64\u4efb\u4f55\u53cc\u5c04\u51fd\u6570\u4e5f\u6709\u53cd\u51fd\u6570\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u60a8\u5e94\u8be5\u8bb0\u4f4f\uff0c\u53cd\u51fd\u6570<em>\u4e0e\u51fd\u6570\u7684\u4e58\u6cd5\u53cd\u51fd\u6570<\/em>\u4e0d\u662f\u4e00\u56de\u4e8b\uff0c\u800c\u662f\u4e24\u4e2a\u4e0d\u540c\u7684\u6982\u5ff5\u3002\u8981\u627e\u5230\u51fd\u6570\u7684\u4e58\u6cd5\u9006\u5143\uff0c\u53ea\u9700\u8ba1\u7b97\u8be5\u51fd\u6570\u7684 1 \u4e2a\u5bf9\u5e94\u5173\u7cfb\u5373\u53ef\u3002<\/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>\u5728\u4e0b\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u786e\u5b9a\u53cd\u51fd\u6570\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hallar-la-funcion-inversa\"><\/span>\u5982\u4f55\u6c42\u53cd\u51fd\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u8ba1\u7b97\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff0c\u5fc5\u987b\u6267\u884c\u4ee5\u4e0b\u6b65\u9aa4\uff1a <\/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;\">\u5c06<em>f(x)<\/em>\u66ff\u6362\u4e3a<em>y<\/em> \u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5c06\u6240\u6709<em>x<\/em>\u66f4\u6539\u4e3a<em>y<\/em> \uff0c\u53cd\u4e4b\u4ea6\u7136\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u6e05\u9664<em>y<\/em>\u53d8\u91cf\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u5c06\u53d8\u91cf<em>y<\/em>\u66ff\u6362\u4e3a<em>f <sup>-1<\/sup> (x)<\/em> \u3002\u53cd\u51fd\u6570\u662f<em>f <sup>-1<\/sup> (x)<\/em>\u7684\u8868\u8fbe\u5f0f\u3002<\/span><\/li>\n<\/ol>\n<\/div>\n<p>\u4e3a\u4e86\u8ba9\u60a8\u6e05\u695a\u5730\u4e86\u89e3\u53cd\u51fd\u6570\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff0c\u6211\u4eec\u5c06\u4ee5\u786e\u5b9a\u4ee5\u4e0b\u51fd\u6570\u7684\u53cd\u51fd\u6570\u4e3a\u4f8b\uff1a<\/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>\u9996\u5148\u6211\u4eec\u9700\u8981\u66f4\u6362<\/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>\u4e3a\u4e86<\/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>\u73b0\u5728\u6211\u4eec\u6539\u53d8\u4e00\u5207<\/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>\u51fd\u6570\u7684<\/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>\uff0c\u53cd\u4e4b\u4ea6\u7136\uff1a<\/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>\u7136\u540e\u6211\u4eec\u6e05\u9664\u53d8\u91cf<\/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>\u6700\u540e\uff0c\u53cd\u51fd\u6570<\/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>\u662f\u6211\u4eec\u901a\u8fc7\u5206\u79bb\u5f97\u5230\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f<\/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>\u53cd\u51fd\u6570\u7ec3\u4e60\u9898\u89e3\u7b54<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e0b\u9762\u6211\u4eec\u51c6\u5907\u4e86\u51e0\u4e2a\u5173\u4e8e\u53cd\u51fd\u6570\u7684\u5206\u6b65\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u7ec3\u4e60\u3002<\/p>\n<p> \ud83d\udc49 \u8bf7\u8bb0\u4f4f\uff0c\u5982\u679c\u60a8\u4e0d\u660e\u767d\u5982\u4f55\u89e3\u51b3\u7ec3\u4e60\u6216\u5e0c\u671b\u6211\u4eec\u4e3a\u60a8\u89e3\u51b3\u95ee\u9898\uff0c\u60a8\u53ef\u4ee5\u5728\u8bc4\u8bba\u4e2d\u7ed9\u6211\u4eec\u5199\u4fe1\uff01<\/p>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u68c0\u67e5\u4ee5\u4e0b\u4e24\u4e2a\u51fd\u6570\u662f\u5426\u4e92\u9006\uff08\u6216\u5012\u6570\uff09\uff1a <\/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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u4f7f\u4e24\u4e2a\u51fd\u6570\u4e92\u4e3a\u53cd\u51fd\u6570\uff0c\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\uff1a<\/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\">\u56e0\u6b64\u6709\u5fc5\u8981\u68c0\u67e5\u8fd9\u4e24\u4e2a\u6761\u4ef6\u662f\u5426\u6ee1\u8db3\u3002\u6211\u4eec\u9996\u5148\u68c0\u67e5<\/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\">\u7136\u800c\uff0c<\/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>\u662f\u7684\uff0c\u5df2\u7ecf\u5b8c\u6210\u4e86\u3002 \u2705<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u8ba9\u6211\u4eec\u68c0\u67e5\u4e00\u4e0b\u51fd\u6570\u7684\u5176\u4ed6\u7ec4\u6210<\/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\">\u501f\u6b64<\/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>\u8fd9\u4e5f\u5b8c\u6210\u4e86\u3002 \u2705<\/p>\n<p class=\"has-text-align-left\">\u8fd9\u662f\u600e\u4e48\u56de\u4e8b<\/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>\u548c<\/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>\uff0c\u8fd9\u4e24\u4e2a\u51fd\u6570\u4e92\u4e3a\u53cd\u51fd\u6570\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u4e00\u6b21\u591a\u9879\u5f0f\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff08\u6216\u5012\u6570\u51fd\u6570\uff09\uff1a <\/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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u53cd\u8f6c\u8be5\u51fd\u6570\uff0c\u9996\u5148\u8981\u505a\u7684\u5c31\u662f\u66ff\u6362\u9879<\/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>\u4e3a\u4e86<\/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\">\u73b0\u5728\u6211\u4eec\u6539\u53d8<\/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>\u7ecf\u8fc7<\/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>\uff0c\u53cd\u4e4b\u4ea6\u7136\uff1a<\/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\">\u7136\u540e\u6211\u4eec\u91ca\u653e<\/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\">\u6211\u4eec\u5df2\u7ecf\u6210\u529f\u53d1\u5e03\u4e86<\/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>\u3002\u56e0\u6b64\uff0c\u53cd\u51fd\u6570<\/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>\u4e1c\u65b9\uff1a <\/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\">\u7ec3\u4e603<\/h3>\n<p>\u5bf9\u4ee5\u4e0b\u4e8c\u6b21\u591a\u9879\u5f0f\u51fd\u6570\u6c42\u9006\uff1a <\/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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4e3a\u4e86\u627e\u5230\u53cd\u51fd\u6570\uff0c\u6211\u4eec\u5c06\u9075\u5faa\u4e0a\u9762\u770b\u5230\u7684\u8fc7\u7a0b\u3002\u6240\u4ee5\u6211\u4eec\u4f1a\u6253\u7535\u8bdd<\/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>\u5230\u51fd\u6570<\/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\">\u5176\u6b21\uff0c\u6211\u4eec\u4fee\u6539<\/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>\u4e3a\u4e86<\/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>\uff0c\u53cd\u4e4b\u4ea6\u7136\uff1a<\/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\">\u6700\u540e\uff0c\u6211\u4eec\u9694\u79bb\u53d8\u91cf<\/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\">\u7136\u800c\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u83b7\u5f97\u7684\u51fd\u6570\u5bf9\u4e8e\u5176\u57df\u7684\u6bcf\u4e2a\u5143\u7d20\u90fd\u6709\u4e24\u4e2a\u56fe\u50cf\uff08\u6b63\u56fe\u50cf\u548c\u8d1f\u56fe\u50cf\uff09\u3002\u56e0\u6b64\uff0c\u95ee\u9898\u51fd\u6570<strong>\u4e0d\u5b58\u5728\u53cd\u51fd\u6570<\/strong>\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u786e\u5b9a\u4ee5\u4e0b\u6709\u7406\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff08\u6216\u5012\u6570\u51fd\u6570\uff09\uff1a <\/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>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9996\u5148\uff0c\u6211\u4eec\u66ff\u6362<\/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>\u4e3a\u4e86<\/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\">\u73b0\u5728\u6211\u4eec\u6539\u53d8<\/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>\u5206\u5b50\u548c\u5206\u6bcd<\/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>\uff0c\u53cd\u4e4b\u4ea6\u7136\uff1a<\/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\">\u7136\u540e\u6211\u4eec\u91ca\u653e<\/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\">\u8868\u8fbe\u65b9\u5f0f<\/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>\u9664\u6389\u65b9\u7a0b\u7684\u6574\u4e2a\u53f3\u4fa7\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4e58\u4ee5\u65b9\u7a0b\u7684\u6574\u4e2a\u5de6\u4fa7\u6765\u4e58\u4ee5\u5b83\uff1a <\/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\">\u6211\u4eec\u5c06\u6240\u6709\u6761\u6b3e\u4e0e<\/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>\u7b49\u5f0f\u7684\u4e00\u4fa7\uff0c\u5176\u4ed6\u9879\u5728\u53e6\u4e00\u4fa7\uff1a<\/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\">\u4e3a\u4e86\u6e05\u9664<\/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>\uff0c\u6211\u4eec\u4ece\u7b49\u5f0f\u5de6\u8fb9\u63d0\u53d6\u516c\u56e0\u6570\uff1a<\/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\">\u800c\u4f5c\u4e3a\u4e00\u540d\u90ae\u9012\u5458<\/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>\u662f\u5c06\u7b49\u5f0f\u7684\u6574\u4e2a\u5de6\u8fb9\u76f8\u4e58\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u9664\u6574\u4e2a\u53f3\u8fb9\u6765\u505a\u5230\u8fd9\u4e00\u70b9\uff1a<\/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\">\u6211\u4eec\u5df2\u7ecf\u6210\u529f\u53d1\u5e03\u4e86<\/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>\u3002\u6240\u4ee5\u53cd\u51fd\u6570\u4e3a<\/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>\u4e1c\u65b9\uff1a <\/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>\u53cd\u51fd\u6570\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u53cd\u51fd\u6570\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u53cd\u51fd\u6570\u662f\u552f\u4e00\u7684\uff0c\u5373\u5982\u679c\u4e00\u4e2a\u51fd\u6570\u662f\u53ef\u9006\u7684\uff0c\u5219\u8be5\u51fd\u6570\u53ea\u6709\u4e00\u4e2a\u53cd\u51fd\u6570\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u53cd\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u662f\u539f\u51fd\u6570\u7684\u503c\u57df\uff08\u6216\u503c\u57df\uff09\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u540c\u6837\uff0c\u53cd\u51fd\u6570\u7684\u8def\u5f84\u76f8\u5f53\u4e8e\u539f\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u4efb\u4f55\u7531\u5176\u53cd\u51fd\u6570\u7ec4\u6210\u7684\u51fd\u6570\u90fd\u7ed9\u51fa\u6052\u7b49\u51fd\u6570(x)\u3002<\/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>\u51fd\u6570\u7684\u56fe\u50cf\u53ca\u5176\u53cd\u51fd\u6570\u7684\u56fe\u50cf\u5173\u4e8e\u7b2c\u4e00\u8c61\u9650\u548c\u7b2c\u4e09\u8c61\u9650\u7684\u5e73\u5206\u7ebf\u5bf9\u79f0\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u53cd\u51fd\u6570\u7684\u53cd\u51fd\u6570\u7b49\u4e8e\u539f\u51fd\u6570\uff1a<\/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>\u5bf9\u590d\u5408\u51fd\u6570\u6c42\u9006\u76f8\u5f53\u4e8e\u5206\u522b\u8ba1\u7b97\u6bcf\u4e2a\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff0c\u7136\u540e\u5c06\u53cd\u51fd\u6570\u590d\u5408\u8d77\u6765\u3002<\/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>\u4e00\u4e2a\u51fd\u6570\u4e0e\u5176\u53cd\u51fd\u6570\u540c\u65f6\u8fde\u7eed\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u51fd\u6570\u662f\u8fde\u7eed\u7684\uff0c\u90a3\u4e48\u5b83\u7684\u53cd\u51fd\u6570\u4e5f\u662f\u8fde\u7eed\u7684\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5982\u679c\u51fd\u6570\u53ef\u5fae\u5e76\u4e14\u5bfc\u6570\u5728\u4efb\u4f55\u65f6\u5019\u90fd\u4e0d\u4f1a\u6d88\u5931\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>\uff0c\u5b83\u7684\u53cd\u51fd\u6570\u4e5f\u662f\u53ef\u5fae\u7684\u3002<\/li>\n<\/ul>\n<p>\u53e6\u5916\uff0c\u53cd\u51fd\u6570\u7684\u5bfc\u6570\u53ef\u4ee5\u5e94\u7528<strong>\u53cd\u51fd\u6570\u5b9a\u7406<\/strong>\u8ba1\u7b97\uff0c\u5176\u516c\u5f0f\u4e3a\uff1a<\/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>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u53cd\u51fd\u6570\uff08\u6216\u5012\u6570\uff09\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u51fd\u6570\u7684\u53cd\u51fd\u6570\u3002\u60a8\u8fd8\u5c06\u4e86\u89e3\u5982\u4f55\u8f7b\u677e\u4e86\u89e3\u51fd\u6570\u662f\u5426\u5177\u6709\u53cd\u51fd\u6570\u4ee5\u53ca &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%8f%8d%e5%87%bd%e6%95%b0%e6%88%96%e5%80%92%e6%95%b0%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u53cd\u51fd\u6570\uff08\u6216\u5012\u6570\uff09<\/span> \u67e5\u770b\u5168\u6587 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