{"id":25,"date":"2023-09-17T11:05:21","date_gmt":"2023-09-17T11:05:21","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e6%9c%89%e7%90%86%e9%96%a2%e6%95%b0\/"},"modified":"2023-09-17T11:05:21","modified_gmt":"2023-09-17T11:05:21","slug":"%e6%9c%89%e7%90%86%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e6%9c%89%e7%90%86%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u6709\u7406\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u6709\u7406\u95a2\u6570\u3068\u306f\u4f55\u304b\u3092\u5b66\u3073\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6709\u7406\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3068\u6f38\u8fd1\u7dda\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3082\u8aac\u660e\u3057\u307e\u3059\u3002\u305d\u308c\u3060\u3051\u3067\u306a\u304f\u3001\u6709\u7406\u95a2\u6570\u306e\u3059\u3079\u3066\u306e\u7279\u6027\u304c\u4f55\u3067\u3042\u308b\u304b\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u6709\u7406\u95a2\u6570\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-racional\"><\/span>\u6709\u7406\u95a2\u6570\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u7406\u95a2\u6570\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p><strong>\u6709\u7406\u95a2\u6570\u306f 2 \u3064\u306e\u591a\u9805\u5f0f\u306e\u5546\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u95a2\u6570\u3067\u3059<\/strong>\u3002\u3064\u307e\u308a\u3001\u6709\u7406\u95a2\u6570\u306f\u5206\u5b50\u3068\u5206\u6bcd\u306b\u591a\u9805\u5f0f\u3092\u6301\u3064\u5206\u6570\u3067\u3059\u3002<\/p>\n<p>\u6709\u7406\u95a2\u6570\u306f\u3001\u5206\u6bcd\u304c\u6d88\u3048\u308b\u70b9\u3067\u306e\u7279\u7570\u70b9\u306b\u3088\u3063\u3066\u7279\u5fb4\u4ed8\u3051\u3089\u308c\u307e\u3059\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-a80ec33ef964f9463287fb8c93605b34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{a_0+a_1x+a_2x^2+\\dots +a_nx^n}{b_0+b_1x+b_2x^2+\\dots +n_nx^n}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"285\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u6709\u7406\u95a2\u6570\u306f\u5206\u6570\u95a2\u6570\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u6709\u7406\u95a2\u6570\u3092\u7121\u7406\u95a2\u6570\u3068\u6df7\u540c\u3057\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002\u975e\u5408\u7406 (\u307e\u305f\u306f\u30e9\u30b8\u30ab\u30eb) \u95a2\u6570\u306f\u3001\u30eb\u30fc\u30c8\u3067\u69cb\u6210\u3055\u308c\u308b\u95a2\u6570\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-funciones-racionales\"><\/span>\u6709\u7406\u95a2\u6570\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u7406\u95a2\u6570\u306e\u6982\u5ff5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li><u style=\"text-decoration-color:#FF9B28;\">\u5206\u5b50\u3068\u5206\u6bcd\u306b 1 \u6b21\u591a\u9805\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u6709\u7406\u95a2\u6570:<\/u><\/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-b170c6c49759eeb2d1d3f81bbf0ebfc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x+3}{2x-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u7a2e\u306e\u6709\u7406\u95a2\u6570\u306f\u3001<strong>\u30db\u30e2\u30b0\u30e9\u30d5\u95a2\u6570<\/strong>\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li><u style=\"text-decoration-color:#FF9B28;\">\u5206\u5b50\u306b\u5b9a\u6570\u3001\u5206\u6bcd\u306b\u591a\u9805\u5f0f\u3092\u6301\u3064\u6709\u7406\u95a2\u6570:<\/u><\/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-931f934a646a46832b66a8a3efe3ad17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{7}{x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"101\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u3088\u3046\u306a\u7a2e\u985e\u306e\u6709\u7406\u95a2\u6570\u306f<strong>\u53cd\u6bd4\u4f8b\u95a2\u6570<\/strong>\u3068\u547c\u3070\u308c\u3001\u53cd\u6bd4\u4f8b\u3059\u308b\u91cf\u3092\u6570\u5b66\u7684\u306b\u5b9a\u7fa9\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li><u style=\"text-decoration-color:#FF9B28;\">\u5206\u5b50\u306b 3 \u6b21\u591a\u9805\u5f0f\u3001\u5206\u6bcd\u306b 2 \u6b21\u591a\u9805\u5f0f\u3092\u6301\u3064\u6709\u7406\u95a2\u6570:<\/u> <\/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-82bb59d3904629b47192dfd05456a638_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^3+4x^2-2x+6}{x^2+3x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"198\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"dominio-de-una-funcion-racional\"><\/span>\u6709\u7406\u95a2\u6570\u306e\u9818\u57df<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p>\u6570\u30920\u3067\u5272\u308b\u3068\u7121\u9650\u5927(\u221e)\u306b\u306a\u308b\u305f\u3081\u3001\u5206\u6bcd\u304c0\u3067\u306a\u3044\u9650\u308a\u6709\u7406\u95a2\u6570\u306f\u5e38\u306b\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u6709\u7406\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u3001<\/strong>\u5206\u6bcd\u3092\u6253\u3061\u6d88\u3059\u5024\u3092\u9664\u304f\u3059\u3079\u3066\u306e\u5b9f\u6570\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/div>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6709\u7406\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u53d6\u5f97\u3059\u308b\u306b\u306f\u3001\u5206\u6bcd\u304c 0 \u306b\u306a\u308b\u3068\u304d\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u70b9\u304c\u5b9a\u7fa9\u57df\u306b\u5c5e\u3055\u306a\u3044\u552f\u4e00\u306e\u70b9\u3068\u306a\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3092\u89e3\u3044\u3066\u3001\u6709\u7406\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\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-dc119bb22722de1d946894030ac0e6e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{5x}{x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"101\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u5206\u6bcd\u3092 0 \u306b\u8a2d\u5b9a\u3057\u3066\u304b\u3089\u3001\u7d50\u679c\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\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-24e301fa7ea2e8d9f0041192d9a84927_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"73\" style=\"vertical-align: -2px;\"><\/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-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001x \u304c -2 \u306e\u5834\u5408\u3001\u5206\u6bcd\u306f 0 \u3068\u306a\u308a\u3001\u95a2\u6570\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u3001x=-2 \u3092\u9664\u304f\u3059\u3079\u3066\u306e\u5b9f\u6570\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u8ff0\u3079\u3089\u308c\u3066\u3044\u307e\u3059\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-c69046d9ec5ea032ce1e6f7f070dbf83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f= \\mathbb{R}-\\{ -2 \\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"asintotas-de-una-funcion-racional\"><\/span>\u6709\u7406\u95a2\u6570\u306e\u6f38\u8fd1\u7dda<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u7406\u95a2\u6570\u306e\u4e3b\u306a\u7279\u6027\u306e 1 \u3064\u306f\u6f38\u8fd1\u7dda\u3067\u3059\u3002\u3053\u308c\u306f\u30b0\u30e9\u30d5\u8868\u73fe\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u95a2\u6570\u306e\u8868\u73fe\/\">\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u8868\u73fe<\/a><\/span><\/p>\n<p><strong>\u6709\u7406\u95a2\u6570\u306e\u6f38\u8fd1\u7dda\u306f\u3001<\/strong>\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u7121\u9650\u306b\u8fd1\u3065\u304f\u3082\u306e\u306e\u6c7a\u3057\u3066\u89e6\u308c\u306a\u3044\u7dda\u3067\u3059\u3002<\/p>\n<p>\u6f38\u8fd1\u7dda\u306b\u306f\u3001\u5782\u76f4\u6f38\u8fd1\u7dda\u3001\u6c34\u5e73\u6f38\u8fd1\u7dda\u3001\u659c\u3081\u6f38\u8fd1\u7dda\u306e 3 \u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306b\u3001\u6709\u7406\u95a2\u6570\u304c\u6301\u3064\u3053\u3068\u304c\u3067\u304d\u308b 3 \u7a2e\u985e\u306e\u6f38\u8fd1\u7dda\u3092\u8d64\u8272\u3067\u30b0\u30e9\u30d5\u5316\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><u style=\"text-decoration-color:#E74C3C;\"><strong>\u6709\u7406\u95a2\u6570\u306e\u5782\u76f4\u6f38\u8fd1\u7dda<\/strong><\/u><\/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\/exemple-dasymptote-verticale.webp\" alt=\"\u6709\u7406\u95a2\u6570\u306e\u5782\u76f4\u6f38\u8fd1\u7dda\" class=\"wp-image-1294\" width=\"408\" height=\"361\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\"><u style=\"text-decoration-color:#E74C3C;\"><strong>\u6709\u7406\u95a2\u6570\u306e\u6c34\u5e73\u6f38\u8fd1\u7dda<\/strong><\/u><\/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\/exemple-dasymptote-horizontale.webp\" alt=\"\u6709\u7406\u95a2\u6570\u306e\u6c34\u5e73\u6f38\u8fd1\u7dda\" class=\"wp-image-1333\" width=\"478\" height=\"378\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\"><u style=\"text-decoration-color:#E74C3C;\"><strong>\u6709\u7406\u95a2\u6570\u306e\u659c\u3081\u6f38\u8fd1\u7dda<\/strong><\/u><\/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\/image-1.png\" alt=\"\u6709\u7406\u95a2\u6570\u306e\u659c\u3081\u306e\u6f38\u8fd1\u7dda\" class=\"wp-image-1374\" width=\"386\" height=\"436\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u30b0\u30e9\u30d5\u304b\u3089\u95a2\u6570\u306e\u6f38\u8fd1\u7dda\u3092\u6c7a\u5b9a\u3059\u308b\u306e\u306f\u975e\u5e38\u306b\u7c21\u5358\u3067\u3059\u304c\u3001\u30b0\u30e9\u30d5\u8868\u73fe\u3092\u6301\u305f\u305a\u306b\u6709\u7406\u95a2\u6570\u306e\u6f38\u8fd1\u7dda\u3092\u8a08\u7b97\u3059\u308b\u306e\u306f\u975e\u5e38\u306b\u8907\u96d1\u3067\u3059\u3002\u3053\u306e\u305f\u3081\u3001Web \u30b5\u30a4\u30c8\u3067\u95a2\u6570\u306e\u6f38\u8fd1\u7dda\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-una-funcion-racional\"><\/span>\u6709\u7406\u95a2\u6570\u306e\u7279\u5fb4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u7406\u95a2\u6570\u306b\u306f\u6b21\u306e\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\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-9c24e4e9a6871d3e8e07e85c24b039c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{P(x)}{Q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"98\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u4e0a\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u6709\u7406\u95a2\u6570\u306e\u9818\u57df\u306b\u306f\u3001\u5206\u6570\u306e\u5206\u6bcd\u3092\u6253\u3061\u6d88\u3059\u5024\u3092\u9664\u304f\u3059\u3079\u3066\u306e\u5b9f\u6570\u304c\u542b\u307e\u308c\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u4e00\u822c\u306b\u3001\u6709\u7406\u95a2\u6570\u306e\u7bc4\u56f2 (\u307e\u305f\u306f\u7bc4\u56f2) \u306b\u306f\u3001\u95a2\u6570\u304c\u6c34\u5e73\u6f38\u8fd1\u7dda\u3092\u6301\u3064\u5024\u3092\u9664\u304f\u3059\u3079\u3066\u306e\u5b9f\u6570\u304c\u542b\u307e\u308c\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u6709\u7406\u95a2\u6570\u306f\u305d\u306e\u9818\u57df\u5168\u4f53\u3067\u9023\u7d9a\u7684\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u6709\u7406\u95a2\u6570\u306f\u305d\u306e\u9818\u57df\u306b\u5c5e\u3055\u306a\u3044\u70b9\u3067\u4e0d\u9023\u7d9a\u6027\u3092\u793a\u3057\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u307b\u3068\u3093\u3069\u306e\u6709\u7406\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u8868\u73fe\u306f 2 \u3064\u306e\u53cc\u66f2\u7dda\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u6709\u7406\u95a2\u6570\u306e\u6f38\u8fd1\u7dda\u306b\u95a2\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u898f\u5247\u306f\u3001\u591a\u9805\u5f0f\u306e\u5206\u5b50\u304b\u3089\u63a8\u5b9a\u3067\u304d\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u305d\u3057\u3066\u5206\u6bcd\u591a\u9805\u5f0f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d38083076c97f0893079e8fed89adb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<ul style=\"list-style-type:circle;margin-left:10%;color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px; margin-top:15px\"><span style=\"color:#101010;font-weight: normal;\">\u6709\u7406\u95a2\u6570\u306b\u306f\u3001\u6839\u3068\u306a\u308b\u70b9\u3067\u5782\u76f4\u65b9\u5411\u306e\u6f38\u8fd1\u7dda\u304c\u3042\u308a\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u3057\u304b\u3057\u3001\u3053\u308c\u3089\u306f\u30eb\u30fc\u30c4\u3067\u306f\u3042\u308a\u307e\u305b\u3093<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f6500c41747705211eacbfc8d05aba4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:15px; margin-top:15px\"><span style=\"color:#101010;font-weight: normal;\">\u306e\u7a0b\u5ea6\u3067\u3042\u308c\u3070\u3001\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u306e\u6b21\u6570\u672a\u6e80\u3067\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3001\u7dda y=0 \u306f\u6709\u7406\u95a2\u6570\u306e\u6c34\u5e73\u6f38\u8fd1\u7dda\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:15px; margin-top:15px\"><span style=\"color:#101010;font-weight: normal;\">\u306e\u7a0b\u5ea6\u3067\u3042\u308c\u3070\u3001\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> \uff5e\u306e\u7a0b\u5ea6\u3088\u308a\u3082\u5927\u304d\u3044<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3001\u6709\u7406\u95a2\u6570\u306b\u306f\u6c34\u5e73\u65b9\u5411\u306e\u6f38\u8fd1\u7dda\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u306e\u7a0b\u5ea6\u3067\u3042\u308c\u3070\u3001\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u306e\u6b21\u6570\u3088\u308a\u5927\u304d\u3044\u5358\u4f4d\u3067\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p>2 \u3064\u306e\u591a\u9805\u5f0f\u306b\u306f\u5171\u901a\u306e\u6839\u304c\u306a\u304f\u3001\u6709\u7406\u95a2\u6570\u306b\u306f\u659c\u3081\u306e\u6f38\u8fd1\u7dda\u304c\u3042\u308a\u307e\u3059\u3002 <\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-racionales\"><\/span>\u6709\u7406\u95a2\u6570\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e\u6709\u7406\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u6c42\u3081\u307e\u3059\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-94fcabf09d798d56e4d439c3dc4945b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\displaystyle\\frac{4x}{2x+4}\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u3053\u308c\u306f\u6709\u7406\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u95a2\u6570\u306f \u221e \u3092\u4e0e\u3048\u308b\u305f\u3081\u3001\u5206\u6bcd\u3092\u6253\u3061\u6d88\u3059\u6570\u5024\u3092\u9664\u304f\u3059\u3079\u3066\u306e\u6570\u5024\u3067\u9818\u57df\u304c\u69cb\u6210\u3055\u308c\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u305d\u3053\u3067\u3001\u3069\u306e\u6570\u5024\u304c\u30c9\u30e1\u30a4\u30f3\u306b\u5c5e\u3057\u3066\u3044\u306a\u3044\u306e\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u3001\u6574\u6570\u306e\u5206\u6bcd\u3092\u30bc\u30ed\u306b\u8a2d\u5b9a\u3057\u307e\u3059\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-198bb8c11e20e5c9864ef9e60a2facc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\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-8bb8c1283df065c83c44b7fe484324a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"66\" 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-578104a63c70bc5ba4b685855966f28e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-4}{2}=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"112\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u30c9\u30e1\u30a4\u30f3\u306f\u3001-2 \u3092\u9664\u304f\u6570\u5024\u306e\u307f\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\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-ee75b8bb1136ab715a80e56e910f1626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = \\mathbb{R}- \\{ -2 \\} }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"157\" 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\">\u6f14\u7fd2 2<\/h3>\n<p>\u30c7\u30ab\u30eb\u30c8\u8ef8\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e\u6709\u7406\u95a2\u6570\u306e\u30ab\u30c3\u30c8\u30aa\u30d5\u70b9\u3092\u898b\u3064\u3051\u307e\u3059\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-6ef48653e91a2935a9776b62ddd1f25b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^2-9}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"109\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>X\u8ef8\u3092\u4f34\u3046\u5207\u65ad\u70b9<\/strong><\/p>\n<p class=\"has-text-align-left\">\u95a2\u6570\u3068 X \u8ef8\u306e\u4ea4\u70b9\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u6b21\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-05bb421b504b7ae4aa483574cd6f28d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" 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-0bce6c022ed0fc63f4659af75888f96c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" 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-603043b6d5768eaace4011208f30bec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2-9}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"81\" 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-0b2fd4733c1dfbb47969d5b92e3e4f04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9=0\\cdot x\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"104\" 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-ce55adbc277e9378607d68bce8ef19fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"81\" 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-05112cb5a98f653cd1920fb40e5ef9a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" 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-9cba0400a71268c96427f3b00bf29b6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=\\pm 3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"64\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u306e 2 \u3064\u306e\u89e3\u304c\u5f97\u3089\u308c\u305f\u305f\u3081\u3001\u6709\u7406\u95a2\u6570\u306f\u6b21\u306e 2 \u3064\u306e\u7570\u306a\u308b\u70b9\u3067\u6a2a\u8ef8\u3068\u4ea4\u5dee\u3057\u307e\u3059\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-013260528208aa1656c5407fa8e29db9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(3,0)\\qquad (-3,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>Y\u8ef8\u3092\u4f34\u3046\u5207\u65ad\u70b9<\/strong><\/p>\n<p class=\"has-text-align-left\">Y \u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-8f92d7beea0ed3a053927c2d429d3450_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0):\" 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-969a7e35c182b2950e797fec58ddab28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=\\cfrac{0^2-9}{0}=\\cfrac{-9}{0}= \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"203\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30bc\u30ed\u3067\u5272\u3063\u305f\u6570\u5024\u306f\u7121\u9650\u5927\u3092\u4e0e\u3048\u308b\u4e0d\u78ba\u5b9a\u6027\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6709\u7406\u95a2\u6570\u306f Y \u8ef8\u3088\u308a\u4e0a\u306e\u70b9\u3092\u901a\u904e\u3057\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001y \u8ef8\u3068\u306e\u4ea4\u70b9\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u6b21\u306e\u6709\u7406\u95a2\u6570\u3092\u30b0\u30e9\u30d5\u306b\u30d7\u30ed\u30c3\u30c8\u3057\u307e\u3059\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-379664d569f63739a52aef2f4a3da41b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{2x+3}{2x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"85\" 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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u521d\u306b\u884c\u3046\u3053\u3068\u306f\u3001\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3059\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-eb310e295335d320e66cac6a8a6a3270_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/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-6b254eeeabf14c903b414b7f844bcd54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x =-6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"66\" 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-be0dac801e36b79ec2bac9a5be70ad7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x =\\cfrac{-6}{2} =-3\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"113\" 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-3eb9671adf4127bd8129820378cb2a44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\{ -3 \\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u95a2\u6570\u306e\u30c9\u30e1\u30a4\u30f3\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u5024\u306e\u30c6\u30fc\u30d6\u30eb\u3092\u4f5c\u6210\u3057\u307e\u3059\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-5dfd65f4a7fca984bdc6f16ec89154c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; y \\\\ \\hline -2,5 &amp; -2 \\\\ -2 &amp; -0,5 \\\\ -1 &amp; 0,25 \\\\ 1 &amp; 0,63 \\\\ -3,5 &amp; 4  \\\\ -4 &amp; 2,5 \\\\ -5 &amp; 1,75 \\\\ -7 &amp; 1,38\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"200\" width=\"112\" style=\"vertical-align: -95px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u5f97\u3089\u308c\u305f\u70b9\u3092\u30b0\u30e9\u30d5\u4e0a\u306b\u8868\u3057\u3066\u53cc\u66f2\u7dda\u3092\u63cf\u304f\u3060\u3051\u3067\u3001\u6709\u7406\u95a2\u6570\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/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-de-proportionnalite-inverse.webp\" alt=\"\u53cd\u6bd4\u4f8b\u95a2\u6570\" class=\"wp-image-170\" width=\"545\" height=\"460\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u306e\u6709\u7406\u95a2\u6570\u306e\u6f38\u8fd1\u7dda\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 <\/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-representation-limites-infini.webp\" alt=\"\u6709\u7406\u95a2\u6570\u306e\u6f38\u8fd1\u7dda\" class=\"wp-image-1244\" width=\"403\" height=\"406\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6f38\u8fd1\u7dda\u306f\u8d64\u3044\u70b9\u7dda\u3067\u8868\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u30b0\u30e9\u30d5\u4e0a\u3067\u975e\u5e38\u306b\u306f\u3063\u304d\u308a\u3068\u898b\u3048\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u554f\u984c\u3067\u306f\u3001\u95a2\u6570\u306f\u6c34\u5e73\u7dda y=1 \u306b\u975e\u5e38\u306b\u8fd1\u3065\u3044\u3066\u3044\u307e\u3059\u304c\u3001\u6c34\u5e73\u7dda\u306b\u89e6\u308c\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6709\u7406\u95a2\u6570\u306b\u306f 1 \u3064\u306e\u6c34\u5e73\u6f38\u8fd1\u7dda (y=1) \u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u540c\u69d8\u306b\u3001\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u8868\u793a\u306f\u5782\u76f4\u7dda x=-1 \u304a\u3088\u3073 x=1 \u306b\u975e\u5e38\u306b\u8fd1\u304f\u306a\u308a\u307e\u3059\u304c\u3001\u3053\u308c\u3089\u306e\u5024\u306b\u306f\u6c7a\u3057\u3066\u9054\u3057\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6709\u7406\u95a2\u6570\u306b\u306f\u3001x=-1 \u3068 x=1 \u3068\u3044\u3046 2 \u3064\u306e\u7570\u306a\u308b\u5782\u76f4\u65b9\u5411\u306e\u6f38\u8fd1\u7dda\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 5<\/h3>\n<p>\u6b21\u306e\u6709\u7406\u95a2\u6570\u306e\u3059\u3079\u3066\u306e\u6f38\u8fd1\u7dda\u3092\u8a08\u7b97\u3057\u307e\u3059\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-ffd06824234d445d38d021cbb04bfa23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{6x-4}{2x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p><strong>\u6ce8:<\/strong>\u3053\u306e\u6f14\u7fd2\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u307e\u305a<u style=\"text-decoration-color:#FF9B28;\">\u95a2\u6570\u306e\u6f38\u8fd1\u7dda\u306e\u8a08\u7b97\u65b9\u6cd5<\/u>\u306b\u95a2\u3059\u308b\u4e0a\u8a18\u306e\u30ea\u30f3\u30af\u306b\u30a2\u30af\u30bb\u30b9\u3057\u3001\u8aac\u660e\u3092\u53c2\u7167\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 <\/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>\u89e3\u6c7a\u7b56\u3092\u898b\u308b<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong><span style=\"text-decoration: underline;\">\u5782\u76f4\u6f38\u8fd1\u7dda<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\">\u95a2\u6570\u306e\u5782\u76f4\u6f38\u8fd1\u7dda\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30c9\u30e1\u30a4\u30f3\u306b\u5c5e\u3055\u306a\u3044\u70b9\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u3001\u6709\u7406\u95a2\u6570\u306e\u5206\u6bcd\u3092 0 \u306b\u8a2d\u5b9a\u3057\u307e\u3059\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-ba1a17401e951a8539e475d758a871d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x +2 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/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-b2a522ee7d1c1819c496c45af9549bc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x= -2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"65\" 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-3e60b04854152fc93f76ad6c29e09346_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-2}{2} = -1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"112\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u3001-1 \u3092\u9664\u304f\u3059\u3079\u3066\u306e\u6570\u5024\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\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-09f86d513e25805efa3dbddfc2e0229e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\left\\{ -1 \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001x=-1 \u306f\u5782\u76f4\u65b9\u5411\u306e\u6f38\u8fd1\u7dda\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u78ba\u8a8d\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u70b9\u3067\u306e\u95a2\u6570\u306e\u6975\u9650\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-19ee5b45a22b402ee890392a91803649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -1 } \\frac{6x-4}{2x+2} = \\frac{6\\cdot(-1)-4}{2\\cdot(-1)+2}=\\frac{-10}{0}= \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u70b9\u3067\u306e\u95a2\u6570\u306e\u6975\u9650\u306f\u7121\u9650\u5927\u3092\u4e0e\u3048\u308b\u305f\u3081\u3001x=-1 \u306f\u6709\u7406\u95a2\u6570\u306e\u5782\u76f4\u6f38\u8fd1\u7dda\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\"><strong><span style=\"text-decoration: underline;\">\u6c34\u5e73\u6f38\u8fd1\u7dda<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\">\u6c34\u5e73\u6f38\u8fd1\u7dda\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u95a2\u6570\u306e\u7121\u9650\u9650\u754c\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-604ce9e6e3a0943003f79d5f890b81d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{6x-4}{2x+2} = \\frac{6(+\\infty)}{2(+\\infty)} = \\frac{+\\infty}{+\\infty} = \\frac{6}{2} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"312\" style=\"vertical-align: -17px;\"><\/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-823441caef29e22ea5cda9685af7c1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{6x-4}{2x+2} = \\frac{6(-\\infty)}{2(-\\infty)} = \\frac{-\\infty}{-\\infty} = \\frac{6}{2} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"312\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u5206\u5b50\u3068\u5206\u6bcd\u304c\u540c\u3058\u6b21\u6570\u3067\u3042\u308b\u305f\u3081\u3001\u7121\u9650\u306e\u9593\u306e\u4e0d\u5b9a\u7121\u9650\u6975\u9650\u306e\u7d50\u679c\u306f\u3001\u6700\u9ad8\u6b21\u6570\u306e x \u306e\u4fc2\u6570\u306e\u9664\u7b97\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\">\u95a2\u6570\u306e 2 \u3064\u306e\u7121\u9650\u9650\u754c\u306b\u3088\u308a 3 \u304c\u5f97\u3089\u308c\u308b\u305f\u3081\u3001y=3 \u306f\u6709\u7406\u95a2\u6570\u306e\u6c34\u5e73\u6f38\u8fd1\u7dda\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\"><strong><span style=\"text-decoration: underline;\">\u659c\u3081\u306e\u6f38\u8fd1\u7dda<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\">\u6c34\u5e73\u65b9\u5411\u306e\u6f38\u8fd1\u7dda\u304c\u3042\u308b\u305f\u3081\u3001\u6709\u7406\u95a2\u6570\u306b\u306f\u659c\u3081\u65b9\u5411\u306e\u6f38\u8fd1\u7dda\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u6709\u7406\u95a2\u6570\u3068\u306f\u4f55\u304b\u3092\u5b66\u3073\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u6709\u7406\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3068\u6f38\u8fd1\u7dda\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3082\u8aac\u660e\u3057\u307e\u3059\u3002\u305d\u308c\u3060\u3051\u3067\u306a\u304f\u3001\u6709\u7406\u95a2\u6570\u306e\u3059\u3079\u3066\u306e\u7279\u6027\u304c\u4f55\u3067\u3042\u308b\u304b\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u6709\u7406\u95a2\u6570\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e6%9c%89%e7%90%86%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6709\u7406\u95a2\u6570<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-25","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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