{"id":17,"date":"2023-09-17T11:11:04","date_gmt":"2023-09-17T11:11:04","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%b9-%d9%88%d8%b8%d8%a7%d8%a6%d9%81-%d8%a5%d8%b6%d8%a7%d9%81%d8%a9-%d9%82%d8%b3%d9%85%d8%a9-%d8%a7%d9%84%d9%85%d9%86%d8%aa%d8%ac-%d8%a7%d9%84\/"},"modified":"2023-09-17T11:11:04","modified_gmt":"2023-09-17T11:11:04","slug":"%d8%a7%d9%84%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%b9-%d9%88%d8%b8%d8%a7%d8%a6%d9%81-%d8%a5%d8%b6%d8%a7%d9%81%d8%a9-%d9%82%d8%b3%d9%85%d8%a9-%d8%a7%d9%84%d9%85%d9%86%d8%aa%d8%ac-%d8%a7%d9%84","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d8%b9%d9%85%d9%84%d9%8a%d8%a7%d8%aa-%d9%85%d8%b9-%d9%88%d8%b8%d8%a7%d8%a6%d9%81-%d8%a5%d8%b6%d8%a7%d9%81%d8%a9-%d9%82%d8%b3%d9%85%d8%a9-%d8%a7%d9%84%d9%85%d9%86%d8%aa%d8%ac-%d8%a7%d9%84\/","title":{"rendered":"\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0630\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644: \u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u062d\u0627\u0635\u0644 \u0648\u0627\u0644\u0642\u0633\u0645\u0629 \u0648\u0627\u0644\u062a\u0631\u0643\u064a\u0628"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0646\u0648\u0636\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0625\u062c\u0631\u0627\u0624\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0648\u0638\u0627\u0626\u0641. \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0634\u0631\u062d \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0648\u0627\u0644. \u0648\u0623\u062e\u064a\u0631\u0627\u060c \u0633\u0648\u0641 \u062a\u062c\u062f \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-operaciones-con-funciones\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u064a\u0645\u0643\u0646\u0643 \u0625\u062c\u0631\u0627\u0621 5 \u0623\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0648\u0638\u0627\u0626\u0641: \u0627\u0644\u062c\u0645\u0639 \u0648\u0627\u0644\u0637\u0631\u062d \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u0633\u0645\u0629 \u0648\u0627\u0644\u062a\u0631\u0643\u064a\u0628.<\/strong> \u0623\u064a \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u0625\u0636\u0627\u0641\u0629 \u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0623\u0648 \u0637\u0631\u062d\u0647\u0645\u0627 \u0623\u0648 \u0636\u0631\u0628\u0647\u0645\u0627 \u0623\u0648 \u0642\u0633\u0645\u062a\u0647\u0645\u0627 \u0623\u0648 \u062a\u0631\u0643\u064a\u0628\u0647\u0645\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0639\u062f \u0630\u0644\u0643\u060c \u0633\u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062a\u0646\u0641\u064a\u0630 \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0639 \u0648\u0638\u0627\u0626\u0641 \u0648\u062e\u0635\u0627\u0626\u0635 \u0643\u0644 \u0645\u0646\u0647\u0627.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"suma-de-funciones\"><\/span> \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0642\u064a\u0645\u0629 <strong>\u0645\u062c\u0645\u0648\u0639 (\u0623\u0648 \u0625\u0636\u0627\u0641\u0629) \u0648\u0638\u064a\u0641\u062a\u064a\u0646<\/strong> \u062a\u0633\u0627\u0648\u064a \u0645\u062c\u0645\u0648\u0639 \u0642\u064a\u0645\u0629 \u0643\u0644 \u0648\u0638\u064a\u0641\u0629. \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u0644\u062d\u0633\u0627\u0628 \u0635\u0648\u0631\u0629 \u062f\u0627\u0644\u0629 \u0645\u062c\u0645\u0648\u0639\u064a\u0629\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0625\u0636\u0627\u0641\u0629 \u0635\u0648\u0631 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u0634\u0627\u0631\u0643\u0629 \u0641\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0645\u062c\u0645\u0648\u0639 \u062f\u0627\u0644\u062a\u064a\u0646 \u0647\u0648 \u062a\u0642\u0627\u0637\u0639 \u0645\u062c\u0627\u0644 \u0643\u0644 \u062f\u0627\u0644\u0629 \u0645\u062c\u0645\u0639\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u062a\u062a\u0645 \u0625\u0636\u0627\u0641\u0629 \u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0646\u0636\u064a\u0641 \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u0648\u0638\u064a\u0641\u062a\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062c\u062f \u0645\u062c\u0627\u0644 \u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062d\u0633\u0628 \u0645\u062c\u0627\u0644 \u0643\u0644 \u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u062d\u062f\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\">\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629<\/a><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a\u0643\u0648\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0639\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0643\u0644 \u0639\u0645\u0644\u064a\u0629 \u0630\u0627\u062a \u0648\u0638\u0627\u0626\u0641 \u0645\u0635\u062d\u0648\u0628\u0629 \u0628\u0645\u062c\u0627\u0644\u0647\u0627 \u0627\u0644\u062e\u0627\u0635 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644.<\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"resta-de-funciones\"><\/span> \u0637\u0631\u062d \u0627\u0644\u0648\u0638\u0627\u0626\u0641<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0635\u0648\u0631\u0629 <strong>\u0627\u0644\u0637\u0631\u062d (\u0623\u0648 \u0627\u0644\u0641\u0631\u0642) \u0628\u064a\u0646 \u062f\u0627\u0644\u062a\u064a\u0646<\/strong> \u0647\u064a \u0635\u0648\u0631 \u0627\u0644\u0637\u0631\u062d \u0644\u0643\u0644 \u062f\u0627\u0644\u0629 \u0645\u0634\u0627\u0631\u0643\u0629 \u0641\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0647\u0648 \u0627\u0644\u062d\u0627\u0644 \u0645\u0639 \u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u0645\u0639\u060c \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u0637\u0631\u062d \u0644\u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u064a\u0639\u0627\u062f\u0644 \u062a\u0642\u0627\u0637\u0639 \u0645\u062c\u0627\u0644 \u0643\u0644 \u062f\u0627\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0644\u0645 \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646\u062f \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u0644\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0644 x\u060c \u0641\u0644\u0646 \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0639\u0646 \u0627\u0644\u0637\u0631\u062d \u0623\u064a\u0636\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0637\u0631\u062d \u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u062b\u0627\u0644:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0646\u0637\u0631\u062d \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u0648\u0638\u064a\u0641\u062a\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u062b\u0645 \u0646\u062d\u062f\u062f \u0645\u062c\u0627\u0644 \u062f\u0627\u0644\u0629 \u0627\u0644\u0637\u0631\u062d: <\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\">\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\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"producto-de-funciones\"><\/span> \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0631\u0626\u064a\u0633\u064a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062d\u0633\u0627\u0628 <strong>\u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0623\u0648 (\u0636\u0631\u0628) \u0648\u0638\u064a\u0641\u062a\u064a\u0646<\/strong> \u060c \u0639\u0644\u064a\u0643 \u0628\u0628\u0633\u0627\u0637\u0629 \u0636\u0631\u0628 \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0643\u0644 \u062f\u0627\u0644\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u062a\u062c \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u062a\u0642\u0627\u0637\u0639\u0627\u062a \u0645\u062c\u0627\u0644 \u0643\u0644 \u062f\u0627\u0644\u0629 \u0645\u0636\u0631\u0648\u0628\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u0627\u0644\u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u0627\u064b \u0646\u0642\u0648\u0645 \u0628\u062a\u0634\u063a\u064a\u0644 \u0627\u0644\u0645\u0646\u062a\u062c \u0628\u0627\u0644\u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627 \u0646\u062c\u062f \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0639\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\">\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\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"division-de-funciones\"><\/span> \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 <strong>\u0644\u062a\u0642\u0633\u064a\u0645 (\u0623\u0648 \u062d\u0627\u0635\u0644) \u0648\u0638\u064a\u0641\u062a\u064a\u0646<\/strong> \u062a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u062a\u0642\u0633\u064a\u0645 \u062f\u0627\u0644\u062a\u064a\u0646 \u0647\u0648 \u0645\u062c\u0645\u0648\u0639\u0629 \u062a\u0642\u0627\u0637\u0639\u0627\u062a \u0645\u062c\u0627\u0644 \u0643\u0644 \u062f\u0627\u0644\u0629 \u0646\u0627\u0642\u0635 \u0643\u0644 x \u0645\u0645\u0627 \u064a\u0644\u063a\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u064a \u062a\u0639\u0645\u0644 \u0643\u0645\u0642\u0633\u0648\u0645 \u0639\u0644\u064a\u0647\u060c \u0648\u0625\u0644\u0627 \u0641\u0625\u0646\u0646\u0627 \u0633\u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0639\u062f\u0645 \u0627\u0644\u062a\u062d\u062f\u064a\u062f.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u0642\u0648\u0645 \u0628\u062a\u0642\u0633\u064a\u0645 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0643\u0644 \u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u062d\u062f\u0629 \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0628\u0645\u0627 \u0623\u0646\u0647 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0647\u0646\u0627\u0643 \u0635\u0641\u0631 \u0641\u064a \u0645\u0642\u0627\u0645 \u0627\u0644\u0643\u0633\u0631\u060c \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0646\u0627\u062a\u062c\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0625\u0632\u0627\u0644\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u062a\u0644\u063a\u064a \u0627\u0644\u0645\u0642\u0627\u0645 (x=3). <\/p>\n<p style=\";text-align:right;direction:rtl\">\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\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"composicion-de-funciones\"><\/span> \u062a\u0643\u0648\u064a\u0646 \u0627\u0644\u062f\u0648\u0627\u0644<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0646 \u0639\u0645\u0644\u064a\u0629 \u062a\u0631\u0643\u064a\u0628 \u0627\u0644\u062f\u0648\u0627\u0644 \u0647\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0623\u0643\u062b\u0631 \u0635\u0639\u0648\u0628\u0629 \u0641\u064a \u062d\u0644\u0647\u0627\u060c \u0644\u0623\u0646\u0647\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0643\u0648\u0646 <strong>\u062a\u0643\u0648\u064a\u0646 \u0627\u0644\u0648\u0638\u064a\u0641\u0629<\/strong> \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0645\u062a\u062a\u0627\u0644\u064a \u0644\u0648\u0638\u064a\u0641\u062a\u064a\u0646. \u062c\u0628\u0631\u064a\u0627\u060c \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u062a\u0643\u0648\u064a\u0646 \u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0645\u062c\u0627\u0644 \u062a\u0643\u0648\u064a\u0646 \u0627\u0644\u0648\u0638\u0627\u0626\u0641<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u064a\u0639\u0627\u062f\u0644 \u0645\u062c\u0645\u0648\u0639\u0629 \u062c\u0645\u064a\u0639 \u0642\u064a\u0645 x \u0641\u064a \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629<\/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> \u0645\u062b\u0644<\/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> \u064a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0645\u062c\u0627\u0644 \u0627\u0644\u0648\u0638\u064a\u0641\u0629<\/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 style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0648\u0638\u064a\u0641\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0631\u0643\u0628\u0629<\/p>\n<p style=\";text-align:right;direction:rtl\">\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> \u062a\u0644\u064a\u0647\u0627<\/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> \u0646\u062d\u0646 \u0628\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0627\u0644\u062a\u0639\u0628\u064a\u0631<\/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> \u062d\u064a\u062b \u064a\u0648\u062c\u062f \u0648\u0627\u062d\u062f<\/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> \u0641\u064a \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646<\/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 style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u062a\u0643\u0648\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u062a\u064a\u0646 \u0628\u0627\u0644\u0643\u0627\u0645\u0644 \u0645\u0646 \u0623\u0631\u0642\u0627\u0645 \u062d\u0642\u064a\u0642\u064a\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0631\u0643\u0628\u0629 \u0633\u064a\u062a\u0643\u0648\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0623\u0631\u0642\u0627\u0645 \u062d\u0642\u064a\u0642\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646\u060c \u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u062a\u0623\u0644\u064a\u0641 \u0644\u064a\u0633\u062a \u0639\u0645\u0644\u064a\u0629 \u0633\u0647\u0644\u0629 \u0627\u0644\u0641\u0647\u0645. \u0644\u0630\u0644\u0643 \u0646\u0646\u0635\u062d\u0643 \u0628\u0645\u0645\u0627\u0631\u0633\u0629 \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0643\u0648\u064a\u0646 \u0627\u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0627\u0646\u0638\u0631:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ar\/\u062a\u0643\u0648\u064a\u0646-\u0627\u0644\u0648\u0638\u0627\u064a\u0654\u0641-\u0648\u0638\u064a\u0641\u0629-\u0645\u0631\u0643\u0628\u0629\/\">\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u062a\u0631\u0643\u064a\u0628 \u0627\u0644\u0648\u0638\u0627\u0626\u0641<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-operaciones-con-funciones\"><\/span> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0628\u064a\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0630\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644\u060c \u064a\u062a\u0645\u064a\u0632 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0628\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0631\u0627\u0628\u0637<\/strong> : \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u0630\u064a \u062a\u062a\u0645 \u0628\u0647 \u0625\u0636\u0627\u0641\u0629 \u0623\u0648 \u0636\u0631\u0628 3 \u0648\u0638\u0627\u0626\u0641 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0644\u064a\u0633 \u0644\u0647 \u0623\u064a \u0635\u0644\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0628\u0627\u062f\u0644\u064a\u0629<\/strong> : \u062a\u0631\u062a\u064a\u0628 \u062c\u0645\u0639 \u0623\u0648 \u0636\u0631\u0628 \u062f\u0627\u0644\u062a\u064a\u0646 \u0644\u0627 \u064a\u063a\u064a\u0631 \u0627\u0644\u0646\u062a\u064a\u062c\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\">\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 style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0645\u062d\u0627\u064a\u062f:<\/strong> \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062c\u0645\u0639 \u0648\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0645\u0646\u062a\u062c \u0644\u0647\u0645\u0627 \u0648\u0638\u0627\u0626\u0641 \u0639\u0646\u0635\u0631 \u0645\u062d\u0627\u064a\u062f \u062b\u0627\u0628\u062a\u0629\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> \u0648<\/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> \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0627\u0644\u0649.<\/li>\n<\/ul>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0639\u0646\u0635\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644<\/strong> : \u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0644\u0647\u0627 \u062f\u0627\u0644\u0629 \u0645\u0639\u0627\u0643\u0633\u0629\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 style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <strong>\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639<\/strong> : \u062a\u0631\u0628\u0637 \u0647\u0630\u0647 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0648\u062d\u0627\u0635\u0644 \u0636\u0631\u0628\u0647\u0627\u060c \u0648\u062a\u0642\u0648\u0645 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\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>\u0646\u0648\u0636\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0625\u062c\u0631\u0627\u0624\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0648\u0638\u0627\u0626\u0641. \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0634\u0631\u062d \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0648\u0627\u0644. \u0648\u0623\u062e\u064a\u0631\u0627\u060c \u0633\u0648\u0641 \u062a\u062c\u062f \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641. \u0645\u0627 \u0647\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0639 \u0627\u0644\u0648\u0638\u0627\u0626\u0641\u061f \u064a\u0645\u0643\u0646\u0643 \u0625\u062c\u0631\u0627\u0621 5 \u0623\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 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