{"id":14,"date":"2023-09-17T11:11:04","date_gmt":"2023-09-17T11:11:04","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e9%96%a2%e6%95%b0%e3%82%92%e4%bd%bf%e7%94%a8%e3%81%97%e3%81%9f%e6%bc%94%e7%ae%97-%e5%8a%a0%e7%ae%97%e6%b8%9b%e7%ae%97%e7%a9%8d%e9%99%a4%e7%ae%97\/"},"modified":"2023-09-17T11:11:04","modified_gmt":"2023-09-17T11:11:04","slug":"%e9%96%a2%e6%95%b0%e3%82%92%e4%bd%bf%e7%94%a8%e3%81%97%e3%81%9f%e6%bc%94%e7%ae%97-%e5%8a%a0%e7%ae%97%e6%b8%9b%e7%ae%97%e7%a9%8d%e9%99%a4%e7%ae%97","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e9%96%a2%e6%95%b0%e3%82%92%e4%bd%bf%e7%94%a8%e3%81%97%e3%81%9f%e6%bc%94%e7%ae%97-%e5%8a%a0%e7%ae%97%e6%b8%9b%e7%ae%97%e7%a9%8d%e9%99%a4%e7%ae%97\/","title":{"rendered":"\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u6f14\u7b97: \u52a0\u7b97\u3001\u6e1b\u7b97\u3001\u7a4d\u3001\u9664\u7b97\u3001\u5408\u6210"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u95a2\u6570\u3067\u3069\u306e\u3088\u3046\u306a\u64cd\u4f5c\u304c\u3067\u304d\u308b\u306e\u304b\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002\u95a2\u6570\u3092\u4f7f\u3063\u305f\u64cd\u4f5c\u306e\u89e3\u8aac\u3068\u6f14\u7fd2\u554f\u984c\u3092\u3054\u89a7\u3044\u305f\u3060\u3051\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u64cd\u4f5c\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-operaciones-con-funciones\"><\/span>\u95a2\u6570\u3092\u4f7f\u3063\u305f\u64cd\u4f5c\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u95a2\u6570\u3067\u306f\u3001\u52a0\u7b97\u3001\u6e1b\u7b97\u3001\u7a4d\u3001\u9664\u7b97\u3001\u5408\u6210\u306e 5 \u7a2e\u985e\u306e\u6f14\u7b97\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/strong>\u3064\u307e\u308a\u30012 \u3064\u306e\u95a2\u6570\u3092\u52a0\u7b97\u3001\u6e1b\u7b97\u3001\u4e57\u7b97\u3001\u9664\u7b97\u3001\u5408\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u305d\u308c\u305e\u308c\u306e\u64cd\u4f5c\u304c\u6a5f\u80fd\u3067\u3069\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u308b\u306e\u304b\u3001\u305d\u308c\u305e\u308c\u306e\u7279\u5fb4\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"suma-de-funciones\"><\/span>\u95a2\u6570\u306e\u548c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>2 \u3064\u306e\u95a2\u6570\u306e\u5408\u8a08 (\u307e\u305f\u306f\u52a0\u7b97)<\/strong>\u306e\u5024\u306f\u3001\u5404\u95a2\u6570\u306e\u5024\u306e\u5408\u8a08\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u5408\u8a08\u95a2\u6570\u306e\u30a4\u30e1\u30fc\u30b8\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6f14\u7b97\u306b\u95a2\u4fc2\u3059\u308b\u95a2\u6570\u306e\u30a4\u30e1\u30fc\u30b8\u3092\u5358\u7d14\u306b\u52a0\u7b97\u3059\u308b\u3060\u3051\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-05d79929a6f09f9747f92a0485e045c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f+g)(x)=f(x)+g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3055\u3089\u306b\u30012 \u3064\u306e\u95a2\u6570\u306e\u548c\u306e\u5b9a\u7fa9\u57df\u306f\u3001\u5408\u8a08\u3055\u308c\u305f\u5404\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306e\u4ea4\u5dee\u306b\u306a\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-1d672f546b07792336a3c0df21714035_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f+g)=\\text{Dom}(f)\\cap\\text{Dom}(g)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u95a2\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u8ffd\u52a0\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-eb89c6f33e5dda0aa251134d7fb7515d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+1 \\qquad g(x)=\\log(x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"275\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u6b21\u306e 2 \u3064\u306e\u95a2\u6570\u3092\u8ffd\u52a0\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-3a6973d112f91431b92068e09e2e52f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f+g)(x)=f(x)+g(x)=x^2+1+\\log(x-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"361\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u4eca\u3001sum\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u898b\u3064\u3051\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u3001\u5404\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u500b\u5225\u306b\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-7d28f947af0d791ef966ef6db609b2dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f)=\\mathbb{R}\\qquad\\text{Dom}(g)=(1,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"279\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\u5b9a\u7fa9\u57df\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a><\/span><\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u64cd\u4f5c\u306e\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\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-6266cd082c8e8012781d9c432803b97c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f+g)=\\text{Dom}(f)\\cap\\text{Dom}(g)=(1,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"343\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u5404\u64cd\u4f5c\u306b\u306f\u3001\u7d50\u679c\u3092\u5b8c\u5168\u306b\u5b9a\u7fa9\u3059\u308b\u305f\u3081\u306e\u30c9\u30e1\u30a4\u30f3\u3092\u4f34\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"resta-de-funciones\"><\/span>\u95a2\u6570\u306e\u5f15\u304d\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>2 \u3064\u306e\u95a2\u6570\u306e\u6e1b\u7b97 (\u307e\u305f\u306f\u5dee)<\/strong>\u306e\u30a4\u30e1\u30fc\u30b8\u306f\u3001\u6f14\u7b97\u306b\u53c2\u52a0\u3059\u308b\u5404\u95a2\u6570\u306e\u30a4\u30e1\u30fc\u30b8\u306e\u6e1b\u7b97\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-47e4822be6bdbfbe3c5692b11ffde668_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f-g)(x)=f(x)-g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u52a0\u7b97\u95a2\u6570\u3068\u540c\u69d8\u306b\u30012 \u3064\u306e\u95a2\u6570\u306e\u6e1b\u7b97\u9818\u57df\u306f\u3001\u5404\u95a2\u6570\u306e\u9818\u57df\u306e\u5171\u901a\u90e8\u5206\u306b\u76f8\u5f53\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-12f87e8f009c4aff19495536484faf38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f-g)=\\text{Dom}(f)\\cap\\text{Dom}(g)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u72ec\u7acb\u5909\u6570 x \u306e\u7279\u5b9a\u306e\u5024\u3067\u95a2\u6570\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u6e1b\u7b97\u306e\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u95a2\u6570\u3082\u5b9a\u7fa9\u3055\u308c\u307e\u305b\u3093\u3002<\/p>\n<p>\u4f8b\u3092\u901a\u3057\u3066 2 \u3064\u306e\u95a2\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u6e1b\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-f01e404815edd977e137b37371cb6e05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{x}\\qquad g(x)=\\cfrac{3}{x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"218\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u307e\u305a 2 \u3064\u306e\u95a2\u6570\u3092\u6e1b\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-e78ab8524f406ba3c30077c979d377ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f-g)(x)=f(x)-g(x)=\\sqrt{x}-\\cfrac{3}{x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"304\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u6e1b\u7b97\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3092\u6c7a\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-7efe9d2026c53d15e8f4cd4f34b0bd30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f)=[0,+\\infty)\\qquad\\text{Dom}(g)=\\mathbb{R}-\\{4\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"325\" 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-a54037cea9dc3305838c3bbf1bdf0d22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f-g)=\\text{Dom}(f)\\cap\\text{Dom}(g)=[0,4)\\cup (4,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"400\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"producto-de-funciones\"><\/span>\u4e3b\u529b\u88fd\u54c1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>2 \u3064\u306e\u95a2\u6570\u306e\u7a4d\u307e\u305f\u306f (\u4e57\u7b97)<\/strong>\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u5404\u95a2\u6570\u306e\u5f0f\u3092\u5358\u7d14\u306b\u4e57\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-c222808349e646fd86841f9bb7a38004_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f\\cdot g)(x)=f(x)\\cdot g(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"172\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u7a4d\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u3001\u5404\u4e57\u7b97\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306e\u5171\u901a\u90e8\u5206\u306e\u96c6\u5408\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-8b74f4595a7baae6c41076fe38b1543d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f\\cdot g)=\\text{Dom}(f)\\cap\\text{Dom}(g)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"248\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e 2 \u3064\u306e\u95a2\u6570\u304c\u3042\u308b\u3068\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-3be55eb65d1ffa1084bbd6f06735c2f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt[3]{x^2-1}\\qquad g(x)=\\cfrac{2}{3x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"266\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u6b21\u306e 2 \u3064\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u88fd\u54c1\u306e\u64cd\u4f5c\u3092\u5b9f\u884c\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-b67aa52a71b46330da18ffc851e28633_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(f\\cdot g)(x)=f(x)\\cdot g(x)=\\sqrt[3]{x^2-1}\\cdot\\cfrac{2}{3x+6}=\\cfrac{2\\sqrt[3]{x^2-1}}{3x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"425\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001\u64cd\u4f5c\u306e\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\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-05c45e48da37aeb7182e6f91d6af9710_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f)=\\mathbb{R}\\qquad\\text{Dom}(g)=\\mathbb{R}-\\{-2\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"292\" 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-7afa18c599135168980fa659c224af54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f\\cdot g)=\\text{Dom}(f)\\cap\\text{Dom}(g)=(-\\infty,-2)\\cup (-2,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"443\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"division-de-funciones\"><\/span>\u6a5f\u80fd\u306e\u5206\u6563<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>2 \u3064\u306e\u95a2\u6570\u306e\u9664\u7b97 (\u307e\u305f\u306f\u5546)<\/strong>\u306e\u6570\u5024\u7d50\u679c\u306f\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u306b\u5bfe\u5fdc\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-96cbf5f56799b59d7d3561d8317b5843_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\left(\\frac{f}{g}\\right)(x)=\\frac{f(x)}{g(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"125\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u305f\u3060\u3057\u30012 \u3064\u306e\u95a2\u6570\u306e\u9664\u7b97\u306e\u5b9a\u7fa9\u57df\u306f\u3001\u5404\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306e\u4ea4\u70b9\u306e\u96c6\u5408\u304b\u3089\u3001\u9664\u6570\u3068\u3057\u3066\u6a5f\u80fd\u3059\u308b\u95a2\u6570\u3092\u30ad\u30e3\u30f3\u30bb\u30eb\u3059\u308b\u3059\u3079\u3066\u306e x \u3092\u5f15\u3044\u305f\u3082\u306e\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3046\u3057\u306a\u3044\u3068\u3001\u4e0d\u78ba\u5b9a\u6027\u304c\u751f\u3058\u308b\u304b\u3089\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-bf8de882e1d983090cbb3ee8f9481b26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{Dom}\\left(\\frac{f}{g}\\right)(x)=\\text{Dom}(f)\\cap\\text{Dom}(g)-\\{x:g(x)=0\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"402\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u6b21\u306e\u95a2\u6570\u3092\u5206\u5272\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-943c191746edc19963301033120e709e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=5^x \\qquad g(x)=x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u95a2\u6570\u306e\u5206\u5e03\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\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-6eae89de60ef299ba6f5fe719a73d3c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\left(\\frac{f}{g}\\right)(x)=\\frac{f(x)}{g(x)}=\\cfrac{5^x}{x-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"193\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u5404\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u3059\u3079\u3066\u306e\u5b9f\u6570\u3067\u500b\u5225\u306b\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-ce037318101ca86303b9aa66a1901cfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(f)=\\mathbb{R}\\qquad\\text{Dom}(g)=\\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"230\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305f\u3060\u3057\u3001\u5206\u6570\u306e\u5206\u6bcd\u306b\u30bc\u30ed\u306f\u5b58\u5728\u3067\u304d\u306a\u3044\u305f\u3081\u3001\u7d50\u679c\u306e\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3067\u306f\u3001\u5206\u6bcd (x=3) \u3092\u6253\u3061\u6d88\u3059\u3059\u3079\u3066\u306e\u5024\u3092\u524a\u9664\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-640a8e1e712348e99aed1f091cc1d2e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{Dom}\\left(\\frac{f}{g}\\right)(x)=\\text{Dom}(f)\\cap\\text{Dom}(g)-\\{x:g(x)=0\\}=\\mathbb{R}-\\{3\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"486\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"composicion-de-funciones\"><\/span>\u6a5f\u80fd\u69cb\u6210<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u95a2\u6570\u306e\u5408\u6210\u306f\u6700\u3082\u8907\u96d1\u306a\u6982\u5ff5\u3067\u3042\u308b\u305f\u3081\u3001\u89e3\u6c7a\u3059\u308b\u306e\u304c\u6700\u3082\u96e3\u3057\u3044\u64cd\u4f5c\u3067\u3059\u3002<\/p>\n<p><strong>\u95a2\u6570\u306e\u5408\u6210\u306f\u3001<\/strong> 2 \u3064\u306e\u95a2\u6570\u306e\u9023\u7d9a\u3057\u305f\u9069\u7528\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u4ee3\u6570\u7684\u306b\u306f\u30012 \u3064\u306e\u95a2\u6570\u306e\u5408\u6210\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\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-3b528c2a40063326606b5f32aa713a48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g\\circ f)(x)=g\\Bigl(f(x)\\Bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"159\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u95a2\u6570\u306e\u5408\u6210\u9818\u57df\u306f\u3001<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1e321d1fe5674142070eefd17519b77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(g\\circ f)(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u5185\u306e x \u306e\u3059\u3079\u3066\u306e\u5024\u306e\u30bb\u30c3\u30c8\u3068\u540c\u7b49\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-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306e\u3088\u3046\u306a<\/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>\u6a5f\u80fd\u306e\u9818\u57df\u306b\u5c5e\u3057\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dce98a79808d5694e9c7a9f4545e45f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf27df12b66bbfdc7516fe47410cbf5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(g\\circ f)=\\{x\\in\\text{Dom}(f)\\ | \\ f(x)\\in \\text{Dom}(g)\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e 2 \u3064\u306e\u95a2\u6570\u304c\u3042\u308b\u3068\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-aef98c61f474a5f3202c4b2003460e39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+1 \\qquad g(x)=3x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"248\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8907\u5408\u95a2\u6570\u3092\u898b\u3064\u3051\u308b\u306b\u306f<\/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-9c09a708375fde2676da319bcdfe8b24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306b\u7d9a\u304f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d208fd391fa57c168dc0f151de829fee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306e\u5f0f\u3092\u7f6e\u304d\u63db\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059<\/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>\u3069\u3053\u306b\u3042\u308b\u306e\u304b<\/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>\u306e\u8868\u73fe\u3067<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f8c9f85fa0ccfcfaa5c014024ef5afb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x):\" 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-f48079d61cf80409fdbf6610b5724189_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(g\\circ f)(x)&amp;=g\\Bigl(f(x)\\Bigr)\\\\[2ex]&amp;= g\\Bigl(x^2+1\\Bigr)\\\\[2ex]&amp;=3(x^2+1)-4\\\\[2ex]&amp;=3x^2+3-4\\\\[2ex]&amp;=3x^2-1\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"211\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u4e21\u65b9\u306e\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u5b8c\u5168\u306b\u5b9f\u6570\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u5408\u6210\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u3082\u5b9f\u6570\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-0fde0ee091521197399bcfb6f5a25e0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom}(g\\circ f)=\\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"124\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u95a2\u6570\u306e\u4f5c\u6210\u306f\u7406\u89e3\u3059\u308b\u306e\u304c\u7c21\u5358\u306a\u64cd\u4f5c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u95a2\u6570\u5408\u6210\u306e\u6f14\u7fd2\u3092\u884c\u3046\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\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\u5408\u6210-\u8907\u5408\u95a2\u6570\/\">\u95a2\u6570\u306e\u69cb\u6210\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u304f\u3060\u3055\u3044<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-operaciones-con-funciones\"><\/span>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u64cd\u4f5c\u306e\u30d7\u30ed\u30d1\u30c6\u30a3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u3059\u3079\u3066\u306e\u6f14\u7b97\u306e\u3046\u3061\u3001\u548c\u3068\u7a4d\u306f\u6b21\u306e\u7279\u6027\u306b\u3088\u3063\u3066\u7279\u5fb4\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u7d50\u5408\u30d7\u30ed\u30d1\u30c6\u30a3<\/strong>: 3 \u3064\u4ee5\u4e0a\u306e\u95a2\u6570\u306e\u52a0\u7b97\u307e\u305f\u306f\u4e57\u7b97\u306e\u9806\u5e8f\u306f\u95a2\u4fc2\u3042\u308a\u307e\u305b\u3093\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-dcc11a4fb89684274cc991e28c8c41e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)+\\bigl[g(x)+h(x)\\bigr]=\\bigl[f(x)+g(x)\\bigr]+h(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"342\" style=\"vertical-align: -7px;\"><\/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-897f10dffa02ae69086d8181e6f2aa96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\cdot \\bigl[g(x)\\cdot h(x)\\bigr]=\\bigl[f(x)\\cdot g(x)\\bigr] \\cdot h(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"307\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u53ef\u63db\u6027\u306e\u6027\u8cea<\/strong>: 2 \u3064\u306e\u95a2\u6570\u306e\u52a0\u7b97\u307e\u305f\u306f\u4e57\u7b97\u306e\u9806\u5e8f\u306f\u7d50\u679c\u3092\u5909\u66f4\u3057\u307e\u305b\u3093\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-aeae9f256e25d89fd73e9231bb1052dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)+g(x)=g(x)+f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"201\" 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-3c2a65bff0ccb6ccb9976e3ed252a636_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\cdot g(x)=g(x)\\cdot f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u4e2d\u7acb\u8981\u7d20:<\/strong>\u548c\u6f14\u7b97\u3068\u7a4d\u6f14\u7b97\u306b\u306f\u4e00\u5b9a\u306e\u4e2d\u7acb\u8981\u7d20\u95a2\u6570\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-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>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e21c119443e5009abfe189df9ee4763_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: 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src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bbeb83744999f8dfe2ee15a3501f50ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\cdot \\bigl[g(x)+h(x)\\bigr]=f(x)\\cdot g(x)+f(x)\\cdot h(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"357\" style=\"vertical-align: -7px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u95a2\u6570\u3067\u3069\u306e\u3088\u3046\u306a\u64cd\u4f5c\u304c\u3067\u304d\u308b\u306e\u304b\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002\u95a2\u6570\u3092\u4f7f\u3063\u305f\u64cd\u4f5c\u306e\u89e3\u8aac\u3068\u6f14\u7fd2\u554f\u984c\u3092\u3054\u89a7\u3044\u305f\u3060\u3051\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u95a2\u6570\u3092\u4f7f\u7528\u3057\u305f\u64cd\u4f5c\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002 \u95a2\u6570\u3092\u4f7f\u3063\u305f\u64cd\u4f5c\u3068\u306f\u4f55\u3067\u3059\u304b? 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