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\\frac{x^2-7x}{x-5}}","54510-ما-أبسط-صورة-للمقدار-{x^2-25}-{x-5}}-{x(x+5)}}-{x(x-5)}}-{x(x+5)}}-{x(x-5","section_id","next_question",{"_8":77,"_33":34,"_35":78,"_12":79,"_10":-5,"_45":-5,"_46":-5,"_47":-5,"_48":-5,"_41":-5,"_74":-5,"_43":-5,"_49":-5},54539,"إذا كان \\ltr{g(x) = \\sqrt{x} + 2} و \\ltr{f(x) = \\frac{1}{x-5}} فإن مجال \\ltr{(f \\circ g)(x) =}","54539-إذا-كان-+-2}-و-{x-5}}-فإن-مجال-}-5}-}-5","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",133,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","التمثيل البياني للدالة $\"\"/$ هو:","encodedPrevQuestionSlug","54510-%D9%85%D8%A7-%D8%A3%D8%A8%D8%B3%D8%B7-%D8%B5%D9%88%D8%B1%D8%A9-%D9%84%D9%84%D9%85%D9%82%D8%AF%D8%A7%D8%B1-%7Bx%5E2-25%7D-%7Bx-5%7D%7D-%7Bx(x%2B5)%7D%7D-%7Bx(x-5)%7D%7D-%7Bx(x%2B5)%7D%7D-%7Bx(x-5","encodedNextQuestionSlug","54539-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%2B-2%7D-%D9%88-%7Bx-5%7D%7D-%D9%81%D8%A5%D9%86-%D9%85%D8%AC%D8%A7%D9%84-%7D-5%7D-%7D-5","relatedQuestions",[100,119,139,159,179,200,219,235,255,275],{"_8":71,"_33":34,"_35":72,"_12":95,"_10":101,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":102,"_80":115,"_82":27,"_116":27,"_117":-5,"_55":118},"ما أبسط صورة للمقدار: x^2-4x-21/x^2-25 ÷x^2-7x/x-5 A)x-3/x(x+5) B)x+3/x(x-5) C)x-3/x(x-5) D)x+3/x(x+5) ",[103,106,109,112],{"_8":104,"_35":105},210546,"\\ltr{\\frac{x-3}{x(x+5)}}",{"_8":107,"_35":108},210547,"\\ltr{\\frac{x+3}{x(x-5)}}",{"_8":110,"_35":111},210548,"\\ltr{\\frac{x-3}{x(x-5)}}",{"_8":113,"_35":114},210549,"\\ltr{\\frac{x+3}{x(x+5)}}",[],"is_all_explanations_deleted","contents_tags_ids","ما أبسط صورة للمقدار: $\"\"/$ ",{"_8":120,"_33":34,"_35":121,"_12":122,"_10":123,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":124,"_80":137,"_82":27,"_116":27,"_117":-5,"_55":138},54507,"إذا كانت \\ltr{f(x)=\\frac{3}{x^2+5}} و \\ltr{g(x)=\\sqrt{x+10}} فما قيمة \\ltr{(fog)(3)}؟","54507-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%7Bx%5E2%2B5%7D%7D-%D9%88-%7D-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%7B6%7D%7D-%7B14%7D%7D%7D-%2B3%7D%7B14%7D%7D-%7B6","إذا كانت f(x)=3/x^2+5 و g(x)=√(x+10) فما قيمة (fog)(3)؟ A)√(143/14) B)14√(3)+3/14 C)5/6 D)1/6 ",[125,128,131,134],{"_8":126,"_35":127},210534,"\\ltr{\\sqrt{\\frac{143}{14}}}",{"_8":129,"_35":130},210535,"\\ltr{\\frac{14\\sqrt{3}+3}{14}}",{"_8":132,"_35":133},210536,"\\ltr{\\frac{5}{6}}",{"_8":135,"_35":136},210537,"\\ltr{\\frac{1}{6}}",[],"إذا كانت $\"\"/$ و $\"\"/$ فما قيمة $\"\"/$ ؟",{"_8":140,"_33":34,"_35":141,"_12":142,"_10":143,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":144,"_80":157,"_82":27,"_116":27,"_117":-5,"_55":158},54484,"أي الدوال التالية ممثلة بالشكل التالي:\n11f0872c_d3cb_927b_84a4_afef4228cd21_00","54484-%D8%A3%D9%8A-%D8%A7%D9%84%D8%AF%D9%88%D8%A7%D9%84-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D9%85%D9%85%D8%AB%D9%84%D8%A9-%D8%A8%D8%A7%D9%84%D8%B4%D9%83%D9%84-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A-%2B-3%7D-%2B-2%7D-2%7D-3","أي الدوال التالية ممثلة بالشكل التالي: A)f(x) = 3√(x-2) + 3 B)f(x) = 3√(x+2) - 3 C)f(x) = 3√(x+3) - 2 D)f(x) = 3√(x-3) + 2 ",[145,148,151,154],{"_8":146,"_35":147},210444,"\\ltr{f(x) = 3\\sqrt{x+3} - 2}",{"_8":149,"_35":150},210445,"\\ltr{f(x) = 3\\sqrt{x-3} + 2}",{"_8":152,"_35":153},210442,"\\ltr{f(x) = 3\\sqrt{x-2} + 3}",{"_8":155,"_35":156},210443,"\\ltr{f(x) = 3\\sqrt{x+2} - 3}",[],"أي الدوال التالية ممثلة بالشكل التالي: $\"\"$ ",{"_8":160,"_33":34,"_35":161,"_12":162,"_10":163,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":164,"_80":177,"_82":27,"_116":27,"_117":-5,"_55":178},54480,"قيمة المقدار \\ltr{\\sqrt{\\frac{63}{28}}} تساوي:","54480-%D9%82%D9%8A%D9%85%D8%A9-%D8%A7%D9%84%D9%85%D9%82%D8%AF%D8%A7%D8%B1-%7B28%7D%7D%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7D%7B2%7D%7D-%7B%7D%7D-%7B2","قيمة المقدار √(63/28) تساوي: A)3/√(2) B)√(3)/2 C)3/2 D)√(3) ",[165,168,171,174],{"_8":166,"_35":167},210426,"\\ltr{\\frac{3}{\\sqrt{2}}}",{"_8":169,"_35":170},210427,"\\ltr{\\frac{\\sqrt{3}}{2}}",{"_8":172,"_35":173},210428,"\\ltr{\\frac{3}{2}}",{"_8":175,"_35":176},210429,"\\ltr{\\sqrt{3}}",[],"قيمة المقدار $\"\"/$ تساوي:",{"_8":180,"_33":34,"_35":181,"_12":182,"_10":183,"_41":42,"_43":44,"_74":91,"_45":184,"_46":184,"_47":27,"_48":19,"_49":-5,"_50":185,"_80":198,"_82":27,"_116":27,"_117":-5,"_55":199},54400,"إذا كان \\ltr{\\sin^{-1}(\\cos\\theta) = \\frac{\\pi}{6}} فما قيمة \\ltr{\\theta} علماً بأن \\ltr{0 < \\theta < \\frac{\\pi}{2}} ؟","54400-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-()-=-%7B6%7D%7D-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%D8%B9%D9%84%D9%85%D8%A7%D9%8B-%D8%A8%D8%A3%D9%86-%7B2%7D%7D-%7B2%7D%7D-%7B6%7D%7D-%7B3%7D%7D-%7B6","إذا كان sin^-1(cosθ) = π/6 فما قيمة θ علماً بأن 0 < θ< π/2 ؟ A)π/2 B)π/6 C)π/3 D)5π/6 ","",[186,189,192,195],{"_8":187,"_35":188},210106,"\\ltr{\\frac{\\pi}{2}}",{"_8":190,"_35":191},210107,"\\ltr{\\frac{\\pi}{6}}",{"_8":193,"_35":194},210108,"\\ltr{\\frac{\\pi}{3}}",{"_8":196,"_35":197},210109,"\\ltr{\\frac{5\\pi}{6}}",[],"إذا كان $\"\"/$ فما قيمة $\"\"/$ علماً بأن $\"\"/$ ؟",{"_8":201,"_33":34,"_35":202,"_12":203,"_10":204,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":205,"_80":218,"_82":27,"_116":27,"_117":-5,"_55":202},52583,"أي الدوال التالية زوجية؟","52583-%D8%A3%D9%8A-%D8%A7%D9%84%D8%AF%D9%88%D8%A7%D9%84-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D8%B2%D9%88%D8%AC%D9%8A%D8%A9","أي الدوال التالية زوجية؟ A) B) C) D) ",[206,209,212,215],{"_8":207,"_35":208},203267,"11f081a5_340e_88a6_92ef_7326398dae0d_00",{"_8":210,"_35":211},203268,"11f081a5_419c_fe27_92ef_e9ae877b79ae_00",{"_8":213,"_35":214},203269,"11f081a6_1a03_db88_92ef_d7a288a03393_00",{"_8":216,"_35":217},203270,"11f081a6_352c_1129_92ef_7534c3d9f4d8_00",[],{"_8":220,"_33":34,"_35":221,"_12":222,"_10":223,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":224,"_80":233,"_82":27,"_116":27,"_117":-5,"_55":234},52582,"أي الدوال التالية مُمثلة في الشكل؟\n11f081a4_41fc_ee97_a902_9fe62df8ee0c_00","52582-%D8%A3%D9%8A-%D8%A7%D9%84%D8%AF%D9%88%D8%A7%D9%84-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D9%85%D9%8F%D9%85%D8%AB%D9%84%D8%A9-%D9%81%D9%8A-%D8%A7%D9%84%D8%B4%D9%83%D9%84-%2B-2%7D-3%7D-2%7D-%2B-3","أي الدوال التالية مُمثلة في الشكل؟ A)f(x) = 3√(x-2) + 3 B)f(x) = 3√(x+3) - 2 C)f(x) = 3√(x+2) - 3 D)f(x) = 3√(x-3) + 2 ",[225,227,229,231],{"_8":226,"_35":153},203263,{"_8":228,"_35":147},203264,{"_8":230,"_35":156},203265,{"_8":232,"_35":150},203266,[],"أي الدوال التالية مُمثلة في الشكل؟ $\"\"$ ",{"_8":236,"_33":34,"_35":237,"_12":238,"_10":239,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":240,"_80":253,"_82":27,"_116":27,"_117":-5,"_55":254},52383,"إذا كان \\ltr{f(x) = \\sqrt{x-1} + 7} فأي التالي صحيح؟","52383-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%2B-7%7D-%D9%81%D8%A3%D9%8A-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A-%D8%B5%D8%AD%D9%8A%D8%AD-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-%7D-%D9%88%D8%A7%D9%84%D9%85%D8%AF%D9%89-%7D-%D9%83%D9%90%D9%84%D8%A7-%D9%85%D9%86-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-%D9%88%D8%A7%D9%84%D9%85%D8%AF%D9%89-%7D-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-%7D-%D9%88%D8%A7%D9%84%D9%85%D8%AF%D9%89-%7D-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-%7D-%D9%88%D8%A7%D9%84%D9%85%D8%AF%D9%89","إذا كان f(x) = √(x-1) + 7 فأي التالي صحيح؟ A)المجال {x|x ≥1} والمدى {y|y ≥7} B)كِلا من المجال والمدى ℝ C)المجال ℝ والمدى {y|y ≥7} D)المجال {x|x ≤1} والمدى ℝ ",[241,244,247,250],{"_8":242,"_35":243},202467,"المجال \\ltr{\\{x|x \\geq 1\\}} والمدى \\ltr{\\{y|y \\geq 7\\}}",{"_8":245,"_35":246},202468,"كِلا من المجال والمدى \\ltr{\\mathbb{R}}",{"_8":248,"_35":249},202469,"المجال \\ltr{\\mathbb{R}} والمدى \\ltr{\\{y|y \\geq 7\\}}",{"_8":251,"_35":252},202470,"المجال \\ltr{\\{x|x \\leq 1\\}} والمدى \\ltr{\\mathbb{R}}",[],"إذا كان $\"\"/$ فأي التالي صحيح؟",{"_8":256,"_33":34,"_35":257,"_12":258,"_10":259,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":27,"_49":-5,"_50":260,"_80":273,"_82":27,"_116":27,"_117":-5,"_55":274},52257,"إذا كانت \\ltr{g(x) = \\frac{1}{f(x)}}، فإن \\ltr{f(x)} تكون دالة عكسية لـ \\ltr{g(x)} عندما ..","52257-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%7Bf(x)%7D%7D-%D9%81%D8%A5%D9%86-%D8%AA%D9%83%D9%88%D9%86-%D8%AF%D8%A7%D9%84%D8%A9-%D8%B9%D9%83%D8%B3%D9%8A%D8%A9-%D9%84%D9%80-%D8%B9%D9%86%D8%AF%D9%85%D8%A7","إذا كانت g(x) = 1/f(x)، فإن f(x) تكون دالة عكسية لـ g(x) عندما .. A)(f ∘g)(x) = (g ∘f)(x) = x B)(f ∘g)=(x) C)(f ∘g) g=(x) D)(g ∘f)(x) = (f ∘g)(x) = x ",[261,264,267,270],{"_8":262,"_35":263},202000,"\\ltr{(f \\circ g)(x) = (g \\circ f)(x) = x}",{"_8":265,"_35":266},202001,"\\ltr{(f \\circ g)=(x) }",{"_8":268,"_35":269},202002,"\\ltr{(f \\circ g) g=(x) }",{"_8":271,"_35":272},202003,"\\ltr{(g \\circ f)(x) = (f \\circ g)(x) = x}",[],"إذا كانت $\"\"/$ ، فإن $\"\"/$ تكون دالة عكسية لـ $\"\"/$ عندما ..",{"_8":276,"_33":34,"_35":277,"_12":278,"_10":279,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":280,"_80":293,"_82":27,"_116":27,"_117":-5,"_55":294},52243,"إذا كانت y تتغير عكسياً مع x وكانت \\ltr{y = 3} عندما \\ltr{x = 4}، فما قيمة x عندما \\ltr{y = 2}؟","52243-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-y-%D8%AA%D8%AA%D8%BA%D9%8A%D8%B1-%D8%B9%D9%83%D8%B3%D9%8A%D8%A7%D9%8B-%D9%85%D8%B9-x-%D9%88%D9%83%D8%A7%D9%86%D8%AA-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-x-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-1-2","إذا كانت y تتغير عكسياً مع x وكانت y = 3 عندما x = 4، فما قيمة x عندما y = 2؟ A)1 B)2 C)4 D)6 ",[281,284,287,290],{"_8":282,"_35":283},201944,"1",{"_8":285,"_35":286},201945,"2",{"_8":288,"_35":289},201946,"\\ltr{4}",{"_8":291,"_35":292},201947,"\\ltr{6}",[],"إذا كانت y تتغير عكسياً مع x وكانت $\"\"/$ عندما $\"\"/$ ، فما قيمة x عندما $\"\"/$ ؟","detailedAnswer",[297,302,304,306],{"_8":53,"_35":54,"_298":27,"_299":300,"_301":-5},"is_correct","question_option_details",[],"has_access",{"_8":62,"_35":63,"_298":27,"_299":303,"_301":-5},[],{"_8":66,"_35":67,"_298":27,"_299":305,"_301":-5},[],{"_8":58,"_35":59,"_298":19,"_299":307,"_301":-5},[],"imagesURLs",[310,311,312,313],"https://tafawaq.sa/watermarked_images/11f08735_5c04_2fb4_84a4_5fd490b842e8_00.jpg","https://tafawaq.sa/watermarked_images/11f08735_698e_d4a5_84a4_2d1ef7814d7c_00.jpg","https://tafawaq.sa/watermarked_images/11f08735_7bdd_6a46_84a4_93e96fe58973_00.jpg","https://tafawaq.sa/watermarked_images/11f08735_ab4c_0de9_84a4_97910d48b671_00.jpg","isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

التمثيل البياني للدالة هو:

التمثيل البياني للدالة $\ltr{f(x) = |\sqrt{x + 1}|}$ هو: