{"id":14,"date":"2023-09-17T11:11:04","date_gmt":"2023-09-17T11:11:04","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%87%bd%e6%95%b0%e8%bf%90%e7%ae%97-%e5%8a%a0%e5%87%8f%e4%b9%98%e7%a7%af-%e9%99%a4%e6%b3%95\/"},"modified":"2023-09-17T11:11:04","modified_gmt":"2023-09-17T11:11:04","slug":"%e5%87%bd%e6%95%b0%e8%bf%90%e7%ae%97-%e5%8a%a0%e5%87%8f%e4%b9%98%e7%a7%af-%e9%99%a4%e6%b3%95","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%87%bd%e6%95%b0%e8%bf%90%e7%ae%97-%e5%8a%a0%e5%87%8f%e4%b9%98%e7%a7%af-%e9%99%a4%e6%b3%95\/","title":{"rendered":"\u51fd\u6570\u8fd0\u7b97\uff1a\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u79ef\u3001\u9664\u6cd5\u548c\u5408\u6210"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u53ef\u4ee5\u4f7f\u7528\u51fd\u6570\u6267\u884c\u54ea\u4e9b\u64cd\u4f5c\u3002\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6709\u5173\u51fd\u6570\u8fd0\u7b97\u7684\u89e3\u91ca\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u3002\u6700\u540e\uff0c\u60a8\u5c06\u627e\u5230\u51fd\u6570\u64cd\u4f5c\u7684\u5c5e\u6027\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-operaciones-con-funciones\"><\/span>\u4ec0\u4e48\u662f\u51fd\u6570\u8fd0\u7b97\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u60a8\u53ef\u4ee5\u4f7f\u7528\u51fd\u6570\u6267\u884c 5 \u79cd\u4e0d\u540c\u7c7b\u578b\u7684\u8fd0\u7b97\uff1a\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u79ef\u3001\u9664\u6cd5\u548c\u5408\u6210\u3002<\/strong>\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e24\u4e2a\u51fd\u6570\u53ef\u4ee5\u76f8\u52a0\u3001\u76f8\u51cf\u3001\u76f8\u4e58\u3001\u76f8\u9664\u6216\u7ec4\u5408\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u6bcf\u79cd\u7c7b\u578b\u7684\u64cd\u4f5c\u662f\u5982\u4f55\u8fdb\u884c\u7684\u3001\u529f\u80fd\u4ee5\u53ca\u6bcf\u79cd\u64cd\u4f5c\u7684\u7279\u70b9\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"suma-de-funciones\"><\/span>\u51fd\u6570\u603b\u548c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u4e24\u4e2a\u51fd\u6570\u7684\u603b\u548c\uff08\u6216\u76f8\u52a0\uff09<\/strong>\u7684\u503c\u7b49\u4e8e\u6bcf\u4e2a\u51fd\u6570\u7684\u503c\u7684\u603b\u548c\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8981\u8ba1\u7b97\u6c42\u548c\u51fd\u6570\u7684\u56fe\u50cf\uff0c\u53ea\u9700\u5c06\u53c2\u4e0e\u8fd0\u7b97\u7684\u51fd\u6570\u7684\u56fe\u50cf\u76f8\u52a0\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-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>\u6b64\u5916\uff0c\u4e24\u4e2a\u51fd\u6570\u4e4b\u548c\u7684\u57df\u662f\u6bcf\u4e2a\u6c42\u548c\u51fd\u6570\u7684\u57df\u7684\u4ea4\u96c6\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>\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u6dfb\u52a0\u4e24\u4e2a\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-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>\u6211\u4eec\u9996\u5148\u6dfb\u52a0\u4e24\u4e2a\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-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>\u73b0\u5728\u6211\u4eec\u627e\u5230\u6c42\u548c\u51fd\u6570\u7684\u57df\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5206\u522b\u8ba1\u7b97\u6bcf\u4e2a\u51fd\u6570\u7684\u57df\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-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>\u8bf7\u53c2\u9605\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\">\u5982\u4f55\u8ba1\u7b97\u51fd\u6570\u7684\u57df<\/a><\/span><\/p>\n<p>\u90a3\u4e48\uff0c\u8fd0\u7b97\u7ed3\u679c\u7684\u51fd\u6570\u57df\u5c06\u662f\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-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>\u6bcf\u4e2a\u5e26\u6709\u51fd\u6570\u7684\u8fd0\u7b97\u90fd\u5fc5\u987b\u9644\u6709\u5176\u57df\u6765\u5b8c\u6574\u5b9a\u4e49\u7ed3\u679c\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"resta-de-funciones\"><\/span>\u51fd\u6570\u51cf\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u4e24\u4e2a\u51fd\u6570\u76f8\u51cf\uff08\u6216\u5dee\uff09\u7684<\/strong>\u56fe\u50cf\u662f\u53c2\u4e0e\u8fd0\u7b97\u7684\u6bcf\u4e2a\u51fd\u6570\u7684\u56fe\u50cf\u76f8\u51cf\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-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>\u4e0e\u52a0\u6cd5\u51fd\u6570\u4e00\u6837\uff0c\u4e24\u4e2a\u51fd\u6570\u7684\u51cf\u6cd5\u57df\u76f8\u5f53\u4e8e\u6bcf\u4e2a\u51fd\u6570\u7684\u57df\u7684\u4ea4\u96c6\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>\u56e0\u6b64\uff0c\u5982\u679c\u5728\u81ea\u53d8\u91cf x \u7684\u67d0\u4e2a\u503c\u5904\u672a\u5b9a\u4e49\u51fd\u6570\uff0c\u5219\u51cf\u6cd5\u6240\u5f97\u7684\u51fd\u6570\u4e5f\u4e0d\u4f1a\u88ab\u5b9a\u4e49\u3002<\/p>\n<p>\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u4e24\u4e2a\u51fd\u6570\u662f\u5982\u4f55\u76f8\u51cf\u7684\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-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>\u6211\u4eec\u9996\u5148\u5c06\u4e24\u4e2a\u51fd\u6570\u76f8\u51cf\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-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>\u7136\u540e\u6211\u4eec\u786e\u5b9a\u51cf\u6cd5\u51fd\u6570\u7684\u57df\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-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>\u65d7\u8230\u4ea7\u54c1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u8981\u8ba1\u7b97<strong>\u4e24\u4e2a\u51fd\u6570\u7684\u4e58\u79ef\u6216\uff08\u4e58\u6cd5\uff09<\/strong> \uff0c\u60a8\u53ea\u9700\u5c06\u6bcf\u4e2a\u51fd\u6570\u7684\u8868\u8fbe\u5f0f\u76f8\u4e58\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-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>\u53e6\u4e00\u65b9\u9762\uff0c\u4e58\u79ef\u51fd\u6570\u7684\u57df\u662f\u6bcf\u4e2a\u4e58\u6cd5\u51fd\u6570\u7684\u57df\u7684\u4ea4\u96c6\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>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u4ee5\u4e0b\u4e24\u4e2a\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-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>\u9996\u5148\u6211\u4eec\u901a\u8fc7\u4e24\u4e2a\u51fd\u6570\u6765\u8fdb\u884c\u4ea7\u54c1\u7684\u64cd\u4f5c\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-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>\u6700\u540e\uff0c\u6211\u4eec\u627e\u5230\u8fd0\u7b97\u7ed3\u679c\u7684\u51fd\u6570\u57df\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-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>\u804c\u80fd\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u4e24\u4e2a\u51fd\u6570\u76f8\u9664\uff08\u6216\u5546\uff09\u7684<\/strong>\u6570\u503c\u7ed3\u679c\u5bf9\u5e94\u4e8e\u4ee5\u4e0b\u7b49\u5f0f\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-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>\u7136\u800c\uff0c\u4e24\u4e2a\u51fd\u6570\u7684\u9664\u57df\u662f\u6bcf\u4e2a\u51fd\u6570\u7684\u57df\u7684\u4ea4\u96c6\u51cf\u53bb\u6240\u6709 x\uff0c\u8fd9\u4f1a\u53d6\u6d88\u5145\u5f53\u9664\u6570\u7684\u51fd\u6570\uff0c\u56e0\u4e3a\u5426\u5219\u6211\u4eec\u5c06\u83b7\u5f97\u4e0d\u786e\u5b9a\u6027\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\u5982\uff0c\u6211\u4eec\u5c06\u5212\u5206\u4ee5\u4e0b\u529f\u80fd\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-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>\u529f\u80fd\u5206\u5e03\u5982\u4e0b\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-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>\u53e6\u4e00\u65b9\u9762\uff0c\u6bcf\u4e2a\u51fd\u6570\u7684\u57df\u5206\u522b\u7531\u6240\u6709\u5b9e\u6570\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-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>\u7136\u800c\uff0c\u7531\u4e8e\u5206\u6570\u7684\u5206\u6bcd\u4e2d\u4e0d\u80fd\u6709\u96f6\uff0c\u56e0\u6b64\u5728\u7ed3\u679c\u51fd\u6570\u7684\u57df\u4e2d\uff0c\u6211\u4eec\u5fc5\u987b\u5220\u9664\u6240\u6709\u62b5\u6d88\u5206\u6bcd\u7684\u503c\uff08x=3\uff09\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>\u529f\u80fd\u7ec4\u6210<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u51fd\u6570\u7684\u590d\u5408\u662f\u6700\u96be\u89e3\u51b3\u7684\u8fd0\u7b97\uff0c\u56e0\u4e3a\u5b83\u662f\u6700\u590d\u6742\u7684\u6982\u5ff5\u3002<\/p>\n<p><strong>\u51fd\u6570\u7ec4\u5408<\/strong>\u7531\u4e24\u4e2a\u51fd\u6570\u7684\u8fde\u7eed\u5e94\u7528\u7ec4\u6210\u3002\u4ece\u4ee3\u6570\u4e0a\u6765\u8bf4\uff0c\u4e24\u4e2a\u51fd\u6570\u7684\u590d\u5408\u8868\u793a\u5982\u4e0b\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-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>\u53e6\u4e00\u65b9\u9762\uff0c\u51fd\u6570\u7684\u590d\u5408\u57df<\/p>\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>\u76f8\u5f53\u4e8e\u51fd\u6570\u57df\u5185x\u6240\u6709\u503c\u7684\u96c6\u5408<\/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>\u4f8b\u5982<\/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>\u5c5e\u4e8e\u51fd\u6570\u57df<\/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>\u4f8b\u5982\uff0c\u7ed9\u5b9a\u4ee5\u4e0b\u4e24\u4e2a\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-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>\u6c42\u590d\u5408\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-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>\u5176\u6b21\u662f<\/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>\u6211\u4eec\u9700\u8981\u66ff\u6362\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-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>\u54ea\u91cc\u6709\u4e00\u4e2a<\/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>\u5728\u8868\u8fbe\u4e2d<\/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>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e24\u4e2a\u51fd\u6570\u7684\u57df\u90fd\u5b8c\u5168\u7531\u5b9e\u6570\u7ec4\u6210\uff0c\u56e0\u6b64\u590d\u5408\u51fd\u6570\u7684\u57df\u4e5f\u5c06\u7531\u5b9e\u6570\u7ec4\u6210\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>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u7ec4\u5408\u51fd\u6570\u5e76\u4e0d\u662f\u4e00\u4e2a\u5bb9\u6613\u7406\u89e3\u7684\u64cd\u4f5c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u7ec3\u4e60\u4ee5\u4e0b\u51fd\u6570\u7ec4\u5408\u7ec3\u4e60\uff1a<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u51fd\u6570\u7684\u590d\u5408-\u590d\u5408\u51fd\u6570\/\">\u5df2\u89e3\u51b3\u7684\u51fd\u6570\u7ec4\u5408\u7ec3\u4e60<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-operaciones-con-funciones\"><\/span>\u51fd\u6570\u8fd0\u7b97\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6240\u6709\u51fd\u6570\u8fd0\u7b97\u4e2d\uff0c\u548c\u4e0e\u79ef\u5177\u6709\u4ee5\u4e0b\u5c5e\u6027\uff1a<\/p>\n<ul>\n<li><strong>\u5173\u8054\u6027<\/strong>\uff1a3\u4e2a\u6216\u66f4\u591a\u51fd\u6570\u76f8\u52a0\u6216\u76f8\u4e58\u7684\u987a\u5e8f\u65e0\u5173\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>\u4ea4\u6362\u5f8b<\/strong>\uff1a\u4e24\u4e2a\u51fd\u6570\u76f8\u52a0\u6216\u76f8\u4e58\u7684\u987a\u5e8f\u4e0d\u6539\u53d8\u7ed3\u679c\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\u6027\u5143\uff1a<\/strong>\u6c42\u548c\u8fd0\u7b97\u3001\u4e58\u79ef\u8fd0\u7b97\u5177\u6709\u5e38\u6570\u4e2d\u6027\u5143\u51fd\u6570\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>\u548c<\/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: -5px;\"><\/p>\n<p>\u5206\u522b\u3002<\/li>\n<\/ul>\n<ul>\n<li><strong>\u5bf9\u79f0\u5143\u7d20<\/strong>\uff1a\u548c\u51fd\u6570\u5177\u6709\u76f8\u53cd\u7684\u51fd\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9e2fee8a3b8710948027f726423744e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li><strong>\u5206\u914d\u6027\u8d28<\/strong>\uff1a\u8be5\u6027\u8d28\u5c06\u8fd0\u7b97\u7684\u548c\u4e0e\u79ef\u8054\u7cfb\u8d77\u6765\uff0c\u5e76\u4e14\u57fa\u4e8e\u4ee5\u4e0b\u7b49\u5f0f\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-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>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u53ef\u4ee5\u4f7f\u7528\u51fd\u6570\u6267\u884c\u54ea\u4e9b\u64cd\u4f5c\u3002\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6709\u5173\u51fd\u6570\u8fd0\u7b97\u7684\u89e3\u91ca\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u3002\u6700\u540e\uff0c\u60a8\u5c06\u627e\u5230\u51fd &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%87%bd%e6%95%b0%e8%bf%90%e7%ae%97-%e5%8a%a0%e5%87%8f%e4%b9%98%e7%a7%af-%e9%99%a4%e6%b3%95\/\"> <span class=\"screen-reader-text\">\u51fd\u6570\u8fd0\u7b97\uff1a\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u79ef\u3001\u9664\u6cd5\u548c\u5408\u6210<\/span> \u67e5\u770b\u5168\u6587 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