[{"_1":2,"_317":-5,"_318":-5},"loaderData",{"_3":4,"_28":29,"_316":-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,"_297":298,"_310":311,"_312":27,"_313":32,"_314":315},"loaderQuestion",{"_8":32,"_33":34,"_35":36,"_10":37,"_12":38,"_39":40,"_41":42,"_43":44,"_45":-5,"_46":-5,"_47":27,"_48":19,"_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},54735,"type","MULTIPLE_CHOICE","text","إذا كان \\ltr{f^{-1}(x) = \\frac{4}{3}x^2 - 1} فإن \\ltr{f(x)=}","إذا كان f^-1(x) = 4/3x^2 - 1 فإن f(x)= A)√(3(x-1)/2), x ≥-1 B)-√(3(x-1)/2), x ≥-1 C)√(3(x+1)/2), x ≥-1 D)3√((x-1)/2), x ≥-1 ","54735-إذا-كان-(x)-=-{3}x^2-1}-فإن-{2}},--x-1}-{2}},--x-1}-{2}},--x-1}-{2}},--x-1","order",91,"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},211446,"\\ltr{\\sqrt{\\frac{3(x-1)}{2}}, \\ x \\geq -1}","renderedText"," $\"\"/$ ",{"_8":58,"_35":59,"_55":60},211447,"\\ltr{-\\sqrt{\\frac{3(x-1)}{2}}, \\ x \\geq -1}"," $\"\"/$ ",{"_8":62,"_35":63,"_55":64},211448,"\\ltr{\\sqrt{\\frac{3(x+1)}{2}}, \\ x \\geq -1}"," $\"\"/$ ",{"_8":66,"_35":67,"_55":68},211449,"\\ltr{3\\sqrt{\\frac{(x-1)}{2}}, \\ x \\geq -1}"," $\"\"/$ ","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},54729,"العبارة \\ltr{\\frac{1}{x^2-4x+4}} غير معرفة عندما x تساوي:","54729-العبارة-{x^2-4x+4}}-غير-معرفة-عندما-x-تساوي","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},54794,"للدالة \\ltr{f(x)=\\frac{x-2}{x^2+6x+8}} خطا تقارب رأسي عند:","54794-للدالة-{x^2+6x+8}}-خطا-تقارب-رأسي-عند","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 $\"\"/$ فإن $\"\"/$ ","encodedPrevQuestionSlug","54729-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-%7Bx%5E2-4x%2B4%7D%7D-%D8%BA%D9%8A%D8%B1-%D9%85%D8%B9%D8%B1%D9%81%D8%A9-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-x-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A","encodedNextQuestionSlug","54794-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7Bx%5E2%2B6x%2B8%7D%7D-%D8%AE%D8%B7%D8%A7-%D8%AA%D9%82%D8%A7%D8%B1%D8%A8-%D8%B1%D8%A3%D8%B3%D9%8A-%D8%B9%D9%86%D8%AF","relatedQuestions",[100,119,139,159,178,198,217,237,257,277],{"_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},"العبارة 1/x^2-4x+4 غير معرفة عندما x تساوي: A)-4 B)4 C)-2 D)2 ",[103,106,109,112],{"_8":104,"_35":105},211422,"\\ltr{-4}",{"_8":107,"_35":108},211423,"\\ltr{4}",{"_8":110,"_35":111},211424,"\\ltr{-2}",{"_8":113,"_35":114},211425,"\\ltr{2}",[],"is_all_explanations_deleted","contents_tags_ids","العبارة $\"\"/$ غير معرفة عندما x تساوي:",{"_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},54719,"بسط العبارة \\ltr{\\dfrac{x-4}{\\sqrt{x}-2}}","54719-%D8%A8%D8%B3%D8%B7-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-%7B-2%7D%7D-2%7D-%7D-%2B2","بسط العبارة x-4√(x)-2 A)√(x)-2 B)√(x)+2 C)x+4 D)4√(x) ",[125,128,131,134],{"_8":126,"_35":127},211382,"\\ltr{\\sqrt{x}-2}",{"_8":129,"_35":130},211383,"\\ltr{\\sqrt{x}+2}",{"_8":132,"_35":133},211384,"\\ltr{x+4}",{"_8":135,"_35":136},211386,"\\ltr{4\\sqrt{x}}",[],"بسط العبارة $\"\"/$ ",{"_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},54715,"إذا كان \\ltr{f(x) = x^2 - 16} و \\ltr{g(x) = \\frac{1}{x-2}} فإن مجال \\ltr{(f \\circ g)(x)}","54715-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%88-%7Bx-2%7D%7D-%D9%81%D8%A5%D9%86-%D9%85%D8%AC%D8%A7%D9%84-2%7D-4%7D-2%7D-4","إذا كان f(x) = x^2 - 16 و g(x) = 1/x-2 فإن مجال (f ∘g)(x) A)ℝ - {2} B)ℝ - {-2} C)ℝ - {4} D)ℝ - {-4} ",[145,148,151,154],{"_8":146,"_35":147},211366,"\\ltr{\\mathbb{R} - \\{2\\}}",{"_8":149,"_35":150},211367,"\\ltr{\\mathbb{R} - \\{-2\\}}",{"_8":152,"_35":153},211368,"\\ltr{\\mathbb{R} - \\{4\\}}",{"_8":155,"_35":156},211369,"\\ltr{\\mathbb{R} - \\{-4\\}}",[],"إذا كان $\"\"/$ و $\"\"/$ فإن مجال $\"\"/$ ",{"_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":176,"_82":27,"_116":27,"_117":-5,"_55":177},54685,"إذا كان \\ltr{ \\frac{5}{y-2} +2 = \\frac{1}{3}} فما قيمة \\ltr{y}؟","54685-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%7By-2%7D-%2B2-=-%7B3%7D%7D-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9","إذا كان 5/y-2 +2 = 1/3 فما قيمة y؟ A)-1 B)1 C)3 D)2 ",[165,168,171,174],{"_8":166,"_35":167},211246,"\\ltr{-1}",{"_8":169,"_35":170},211247,"\\ltr{1}",{"_8":172,"_35":173},211248,"\\ltr{3}",{"_8":175,"_35":114},211249,[],"إذا كان $\"\"/$ فما قيمة $\"\"/$ ؟",{"_8":179,"_33":34,"_35":180,"_12":181,"_10":182,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":183,"_80":196,"_82":27,"_116":27,"_117":-5,"_55":197},54660,"إذا كان النظير الضربي للكسر \\ltr{\\frac{4x}{4x+h}} هو \\ltr{\\frac{x-3}{x}} فما قيمة \\ltr{h}؟","54660-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D8%A7%D9%84%D9%86%D8%B8%D9%8A%D8%B1-%D8%A7%D9%84%D8%B6%D8%B1%D8%A8%D9%8A-%D9%84%D9%84%D9%83%D8%B3%D8%B1-%7B4x%2Bh%7D%7D-%D9%87%D9%88-%7Bx%7D%7D-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-7-12-12-7","إذا كان النظير الضربي للكسر 4x/4x+h هو x-3/x فما قيمة h؟ A)-12 B)-7 C)7 D)12 ",[184,187,190,193],{"_8":185,"_35":186},211148,"7",{"_8":188,"_35":189},211149,"12",{"_8":191,"_35":192},211146,"-12",{"_8":194,"_35":195},211147,"-7",[],"إذا كان النظير الضربي للكسر $\"\"/$ هو $\"\"/$ فما قيمة $\"\"/$ ؟",{"_8":199,"_33":34,"_35":200,"_12":201,"_10":202,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":203,"_80":215,"_82":27,"_116":27,"_117":-5,"_55":216},54656,"في الشكل المقابل: الدالة غير معرفة عندما \\ltr{x} تساوي:\n11f087b5_133c_3afc_84a4_8d35ac6b1bb3_00","54656-%D9%81%D9%8A-%D8%A7%D9%84%D8%B4%D9%83%D9%84-%D8%A7%D9%84%D9%85%D9%82%D8%A7%D8%A8%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D8%BA%D9%8A%D8%B1-%D9%85%D8%B9%D8%B1%D9%81%D8%A9-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A","في الشكل المقابل: الدالة غير معرفة عندما x تساوي: A)0 B) 2 C)1 D)5 ",[204,207,210,212],{"_8":205,"_35":206},211130,"\\ltr{0}",{"_8":208,"_35":209},211131,"\\ltr{ 2}",{"_8":211,"_35":170},211132,{"_8":213,"_35":214},211133,"\\ltr{5}",[],"في الشكل المقابل: الدالة غير معرفة عندما $\"\"/$ تساوي: $\"\"$ ",{"_8":218,"_33":34,"_35":219,"_12":220,"_10":221,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":222,"_80":235,"_82":27,"_116":27,"_117":-5,"_55":236},54639,"أي الدوال التالية هي العكسية للدالة \\ltr{f(x)=\\frac{2+x}{3}} ؟","54639-%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%87%D9%8A-%D8%A7%D9%84%D8%B9%D9%83%D8%B3%D9%8A%D8%A9-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7B3","أي الدوال التالية هي العكسية للدالة f(x)=2+x/3 ؟ A)3x - 2 B)3x + 2 C)2x + 3 D)2x - 3 ",[223,226,229,232],{"_8":224,"_35":225},211062,"\\ltr{3x - 2}",{"_8":227,"_35":228},211063,"\\ltr{3x + 2}",{"_8":230,"_35":231},211064,"\\ltr{2x + 3}",{"_8":233,"_35":234},211065,"\\ltr{2x - 3}",[],"أي الدوال التالية هي العكسية للدالة $\"\"/$ ؟",{"_8":238,"_33":34,"_35":239,"_12":240,"_10":241,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":242,"_80":255,"_82":27,"_116":27,"_117":-5,"_55":256},54637,"الدالة العكسية للدالة \\ltr{f(x) = \\sqrt{x} + 3} هي: \\ltr{f^{-1}(x)} تساوي:","54637-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D8%A7%D9%84%D8%B9%D9%83%D8%B3%D9%8A%D8%A9-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%2B-3%7D-%D9%87%D9%8A-(x)%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-(x)-=-x%5E2-3%2C%2C-x-0%7D-(x)-=-x%5E2-%2B-3%2C%2C-x-0%7D-(x)-=-x%5E2-3%2C%2C-x-0%7D-(x)-=-x%5E3-%2B-3%2C%2C-x-0","الدالة العكسية للدالة f(x) = √(x) + 3 هي: f^-1(x) تساوي: A)f^-1(x) = x^3 + 3, x ≤0 B)f^-1(x) = x^2 - 3, x ≤0 C)f^-1(x) = x^2 + 3, x ≤0 D)f^-1(x) = x^2 - 3, x ≥0 ",[243,246,249,252],{"_8":244,"_35":245},211054,"\\ltr{f^{-1}(x) = x^3 + 3,\\, x \\leq 0}",{"_8":247,"_35":248},211055,"\\ltr{f^{-1}(x) = x^2 - 3,\\, x \\leq 0}",{"_8":250,"_35":251},211056,"\\ltr{f^{-1}(x) = x^2 + 3,\\, x \\leq 0}",{"_8":253,"_35":254},211057,"\\ltr{f^{-1}(x) = x^2 - 3,\\, x \\geq 0}",[],"الدالة العكسية للدالة $\"\"/$ هي: $\"\"/$ تساوي:",{"_8":258,"_33":34,"_35":259,"_12":260,"_10":261,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":262,"_80":275,"_82":27,"_116":27,"_117":-5,"_55":276},54630,"مجال الدالة \\ltr{f(x) = \\sqrt{x+2}} يساوي:","54630-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","مجال الدالة f(x) = √(x+2) يساوي: A){x | x ≥2, x ∈ℝ} B){x | x ≥-2, x ∈ℝ} C){x | x ≤2, x ∈ℝ} D){x | x ≤-2, x ∈ℝ} ",[263,266,269,272],{"_8":264,"_35":265},211026,"\\ltr{\\{x | x \\geq 2, x \\in \\mathbb{R}\\}}",{"_8":267,"_35":268},211027,"\\ltr{\\{x | x \\geq -2, x \\in \\mathbb{R}\\}}",{"_8":270,"_35":271},211028,"\\ltr{\\{x | x \\leq 2, x \\in \\mathbb{R}\\}}",{"_8":273,"_35":274},211029,"\\ltr{\\{x | x \\leq -2, x \\in \\mathbb{R}\\}}",[],"مجال الدالة $\"\"/$ يساوي:",{"_8":278,"_33":34,"_35":279,"_12":280,"_10":281,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":282,"_80":295,"_82":27,"_116":27,"_117":-5,"_55":296},54628,"إذا كانت \\ltr{f(x) = \\frac{2}{3}x - 4} فإن \\ltr{f^{-1}(x) = }","54628-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%7B3%7Dx-4%7D-%D9%81%D8%A5%D9%86-(x)-=-%7D-%7B2%7Dx-%2B-6%7D-%7B2%7Dx-%2B-8%7D-%7B2%7Dx-%2B-9%7D-%7B2%7Dx-%2B-12","إذا كانت f(x) = 2/3x - 4 فإن f^-1(x) = A)f(x) = 3/2x + 6 B)f(x) = 3/2x + 8 C)f(x) = 3/2x + 9 D)f(x) = 3/2x + 12 ",[283,286,289,292],{"_8":284,"_35":285},211018,"\\ltr{f(x) = \\frac{3}{2}x + 6}",{"_8":287,"_35":288},211019,"\\ltr{f(x) = \\frac{3}{2}x + 8}",{"_8":290,"_35":291},211020,"\\ltr{f(x) = \\frac{3}{2}x + 9}",{"_8":293,"_35":294},211021,"\\ltr{f(x) = \\frac{3}{2}x + 12}",[],"إذا كانت $\"\"/$ فإن $\"\"/$ ","detailedAnswer",[299,304,306,308],{"_8":53,"_35":54,"_300":27,"_301":302,"_303":-5},"is_correct","question_option_details",[],"has_access",{"_8":62,"_35":63,"_300":19,"_301":305,"_303":-5},[],{"_8":66,"_35":67,"_300":27,"_301":307,"_303":-5},[],{"_8":58,"_35":59,"_300":27,"_301":309,"_303":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

إذا كان فإن

إذا كان $\ltr{f^{-1}(x) = \frac{4}{3}x^2 - 1}$ فإن $\ltr{f(x)=}$