[{"_1":2,"_315":-5,"_316":-5},"loaderData",{"_3":4,"_28":29,"_314":-5},"root",{"_5":6,"_24":25,"_26":27},"allTopics",[7],{"_8":9,"_10":11,"_12":13,"_14":15,"_16":17},"id",2,"title","قدرات عامة","slug","قدرات-عامة","description","اختبار القدرات للمرحلة الثانوية هو اختبار يقيس القدرة على الفهم والتطبيق والاستدلال والتحليل لدى الطالب من خلال اللغة والرياضيات، و معرفة قابلية الطالب للتعلم","metadata",{"_18":19,"_20":19,"_21":19,"_22":19,"_23":19},"support_dynamic_study_plan",true,"study_plan_based_on_section_level","placement_test_based_on_section_level","study_plan_based_on_topic_level","placement_test_based_on_topic_level","whiteLabelData",{},"isWhitelabeled",false,"routes/_visitor.question.$slug",{"_30":31,"_98":99,"_295":296,"_308":309,"_310":27,"_311":32,"_312":313},"loaderQuestion",{"_8":32,"_33":34,"_35":36,"_10":37,"_12":38,"_39":40,"_41":42,"_43":44,"_45":-5,"_46":-5,"_47":27,"_48":27,"_49":-5,"_50":51,"_69":70,"_75":76,"_80":81,"_82":27,"_83":-5,"_84":85,"_86":87,"_88":89,"_90":91,"_92":19,"_55":93,"_94":95,"_96":97},54539,"type","MULTIPLE_CHOICE","text","إذا كان \\ltr{g(x) = \\sqrt{x} + 2} و \\ltr{f(x) = \\frac{1}{x-5}} فإن مجال \\ltr{(f \\circ g)(x) =}","إذا كان g(x) = √(x) + 2 و f(x) = 1/x-5 فإن مجال (f ∘g)(x) = A){x | x ≥-2 , x ≠5} B){x | x ≥-2 , x ≠23} C)ℝ - {5} D)ℝ - {-5} ","54539-إذا-كان-+-2}-و-{x-5}}-فإن-مجال-}-5}-}-5","order",77,"unit_id",50,"topic_id",3,"comparison_value1","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[52,57,61,65],{"_8":53,"_35":54,"_55":56},210663,"\\ltr{\\{x | x \\geq -2 , x \\neq 23\\}}","renderedText"," $\"\"/$ ",{"_8":58,"_35":59,"_55":60},210664,"\\ltr{\\mathbb{R} - \\{5\\}}"," $\"\"/$ ",{"_8":62,"_35":63,"_55":64},210662,"\\ltr{\\{x | x \\geq -2 , x \\neq 5\\}}"," $\"\"/$ ",{"_8":66,"_35":67,"_55":68},210665,"\\ltr{\\mathbb{R} - \\{-5\\}}"," $\"\"/$ ","previous_question",{"_8":71,"_33":34,"_35":72,"_12":73,"_10":-5,"_45":-5,"_46":-5,"_47":-5,"_48":-5,"_41":-5,"_74":-5,"_43":-5,"_49":-5},54526,"التمثيل البياني للدالة \\ltr{f(x) = |\\sqrt{x + 1}|} هو:","54526-التمثيل-البياني-للدالة-|}-هو","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},54553,"إذا كان \\ltr{g(x) = x^2 + 5} و \\ltr{f(x) = x-1} فإن \\ltr{(f \\circ g)(2)} = ؟","54553-إذا-كان-و-فإن","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",133,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","إذا كان $\"\"/$ و $\"\"/$ فإن مجال $\"\"/$ ","encodedPrevQuestionSlug","54526-%D8%A7%D9%84%D8%AA%D9%85%D8%AB%D9%8A%D9%84-%D8%A7%D9%84%D8%A8%D9%8A%D8%A7%D9%86%D9%8A-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7C%7D-%D9%87%D9%88","encodedNextQuestionSlug","54553-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%88-%D9%81%D8%A5%D9%86","relatedQuestions",[100,119,139,159,179,199,220,239,255,275],{"_8":71,"_33":34,"_35":72,"_12":95,"_10":101,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":27,"_49":-5,"_50":102,"_80":115,"_82":27,"_116":27,"_117":-5,"_55":118},"التمثيل البياني للدالة f(x) = |√(x + 1)| هو: A) B) C) D) ",[103,106,109,112],{"_8":104,"_35":105},210610,"11f08735_5c04_2fb4_84a4_5fd490b842e8_00",{"_8":107,"_35":108},210611,"11f08735_698e_d4a5_84a4_2d1ef7814d7c_00",{"_8":110,"_35":111},210612,"11f08735_7bdd_6a46_84a4_93e96fe58973_00",{"_8":113,"_35":114},210613,"11f08735_ab4c_0de9_84a4_97910d48b671_00",[],"is_all_explanations_deleted","contents_tags_ids","التمثيل البياني للدالة $\"\"/$ هو:",{"_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},54510,"ما أبسط صورة للمقدار: \\ltr{\\frac{x^2-4x-21}{x^2-25} \\div \\frac{x^2-7x}{x-5}}","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","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) ",[125,128,131,134],{"_8":126,"_35":127},210546,"\\ltr{\\frac{x-3}{x(x+5)}}",{"_8":129,"_35":130},210547,"\\ltr{\\frac{x+3}{x(x-5)}}",{"_8":132,"_35":133},210548,"\\ltr{\\frac{x-3}{x(x-5)}}",{"_8":135,"_35":136},210549,"\\ltr{\\frac{x+3}{x(x+5)}}",[],"ما أبسط صورة للمقدار: $\"\"/$ ",{"_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},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 ",[145,148,151,154],{"_8":146,"_35":147},210534,"\\ltr{\\sqrt{\\frac{143}{14}}}",{"_8":149,"_35":150},210535,"\\ltr{\\frac{14\\sqrt{3}+3}{14}}",{"_8":152,"_35":153},210536,"\\ltr{\\frac{5}{6}}",{"_8":155,"_35":156},210537,"\\ltr{\\frac{1}{6}}",[],"إذا كانت $\"\"/$ و $\"\"/$ فما قيمة $\"\"/$ ؟",{"_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},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 ",[165,168,171,174],{"_8":166,"_35":167},210444,"\\ltr{f(x) = 3\\sqrt{x+3} - 2}",{"_8":169,"_35":170},210445,"\\ltr{f(x) = 3\\sqrt{x-3} + 2}",{"_8":172,"_35":173},210442,"\\ltr{f(x) = 3\\sqrt{x-2} + 3}",{"_8":175,"_35":176},210443,"\\ltr{f(x) = 3\\sqrt{x+2} - 3}",[],"أي الدوال التالية ممثلة بالشكل التالي: $\"\"$ ",{"_8":180,"_33":34,"_35":181,"_12":182,"_10":183,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":184,"_80":197,"_82":27,"_116":27,"_117":-5,"_55":198},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) ",[185,188,191,194],{"_8":186,"_35":187},210426,"\\ltr{\\frac{3}{\\sqrt{2}}}",{"_8":189,"_35":190},210427,"\\ltr{\\frac{\\sqrt{3}}{2}}",{"_8":192,"_35":193},210428,"\\ltr{\\frac{3}{2}}",{"_8":195,"_35":196},210429,"\\ltr{\\sqrt{3}}",[],"قيمة المقدار $\"\"/$ تساوي:",{"_8":200,"_33":34,"_35":201,"_12":202,"_10":203,"_41":42,"_43":44,"_74":91,"_45":204,"_46":204,"_47":27,"_48":19,"_49":-5,"_50":205,"_80":218,"_82":27,"_116":27,"_117":-5,"_55":219},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 ","",[206,209,212,215],{"_8":207,"_35":208},210106,"\\ltr{\\frac{\\pi}{2}}",{"_8":210,"_35":211},210107,"\\ltr{\\frac{\\pi}{6}}",{"_8":213,"_35":214},210108,"\\ltr{\\frac{\\pi}{3}}",{"_8":216,"_35":217},210109,"\\ltr{\\frac{5\\pi}{6}}",[],"إذا كان $\"\"/$ فما قيمة $\"\"/$ علماً بأن $\"\"/$ ؟",{"_8":221,"_33":34,"_35":222,"_12":223,"_10":224,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":225,"_80":238,"_82":27,"_116":27,"_117":-5,"_55":222},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) ",[226,229,232,235],{"_8":227,"_35":228},203267,"11f081a5_340e_88a6_92ef_7326398dae0d_00",{"_8":230,"_35":231},203268,"11f081a5_419c_fe27_92ef_e9ae877b79ae_00",{"_8":233,"_35":234},203269,"11f081a6_1a03_db88_92ef_d7a288a03393_00",{"_8":236,"_35":237},203270,"11f081a6_352c_1129_92ef_7534c3d9f4d8_00",[],{"_8":240,"_33":34,"_35":241,"_12":242,"_10":243,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":244,"_80":253,"_82":27,"_116":27,"_117":-5,"_55":254},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 ",[245,247,249,251],{"_8":246,"_35":173},203263,{"_8":248,"_35":167},203264,{"_8":250,"_35":176},203265,{"_8":252,"_35":170},203266,[],"أي الدوال التالية مُمثلة في الشكل؟ $\"\"$ ",{"_8":256,"_33":34,"_35":257,"_12":258,"_10":259,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":260,"_80":273,"_82":27,"_116":27,"_117":-5,"_55":274},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 ",[261,264,267,270],{"_8":262,"_35":263},202467,"المجال \\ltr{\\{x|x \\geq 1\\}} والمدى \\ltr{\\{y|y \\geq 7\\}}",{"_8":265,"_35":266},202468,"كِلا من المجال والمدى \\ltr{\\mathbb{R}}",{"_8":268,"_35":269},202469,"المجال \\ltr{\\mathbb{R}} والمدى \\ltr{\\{y|y \\geq 7\\}}",{"_8":271,"_35":272},202470,"المجال \\ltr{\\{x|x \\leq 1\\}} والمدى \\ltr{\\mathbb{R}}",[],"إذا كان $\"\"/$ فأي التالي صحيح؟",{"_8":276,"_33":34,"_35":277,"_12":278,"_10":279,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":27,"_49":-5,"_50":280,"_80":293,"_82":27,"_116":27,"_117":-5,"_55":294},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 ",[281,284,287,290],{"_8":282,"_35":283},202000,"\\ltr{(f \\circ g)(x) = (g \\circ f)(x) = x}",{"_8":285,"_35":286},202001,"\\ltr{(f \\circ g)=(x) }",{"_8":288,"_35":289},202002,"\\ltr{(f \\circ g) g=(x) }",{"_8":291,"_35":292},202003,"\\ltr{(g \\circ f)(x) = (f \\circ g)(x) = x}",[],"إذا كانت $\"\"/$ ، فإن $\"\"/$ تكون دالة عكسية لـ $\"\"/$ عندما ..","detailedAnswer",[297,302,304,306],{"_8":58,"_35":59,"_298":27,"_299":300,"_301":-5},"is_correct","question_option_details",[],"has_access",{"_8":66,"_35":67,"_298":27,"_299":303,"_301":-5},[],{"_8":53,"_35":54,"_298":19,"_299":305,"_301":-5},[],{"_8":62,"_35":63,"_298":27,"_299":307,"_301":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

إذا كان و فإن مجال

إذا كان $\ltr{g(x) = \sqrt{x} + 2}$ و $\ltr{f(x) = \frac{1}{x-5}}$ فإن مجال $\ltr{(f \circ g)(x) =}$