[{"_1":2,"_320":-5,"_321":-5},"loaderData",{"_3":4,"_28":29,"_319":-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,"_300":301,"_313":314,"_315":27,"_316":32,"_317":318},"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},54630,"type","MULTIPLE_CHOICE","text","مجال الدالة \\ltr{f(x) = \\sqrt{x+2}} يساوي:","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} ","54630-مجال-الدالة-}-يساوي","order",82,"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},211026,"\\ltr{\\{x | x \\geq 2, x \\in \\mathbb{R}\\}}","renderedText"," $\"\"/$ ",{"_8":58,"_35":59,"_55":60},211027,"\\ltr{\\{x | x \\geq -2, x \\in \\mathbb{R}\\}}"," $\"\"/$ ",{"_8":62,"_35":63,"_55":64},211028,"\\ltr{\\{x | x \\leq 2, x \\in \\mathbb{R}\\}}"," $\"\"/$ ",{"_8":66,"_35":67,"_55":68},211029,"\\ltr{\\{x | x \\leq -2, x \\in \\mathbb{R}\\}}"," $\"\"/$ ","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},54628,"إذا كانت \\ltr{f(x) = \\frac{2}{3}x - 4} فإن \\ltr{f^{-1}(x) = }","54628-إذا-كانت-{3}x-4}-فإن-(x)-=-}-{2}x-+-6}-{2}x-+-8}-{2}x-+-9}-{2}x-+-12","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},54637,"الدالة العكسية للدالة \\ltr{f(x) = \\sqrt{x} + 3} هي: \\ltr{f^{-1}(x)} تساوي:","54637-الدالة-العكسية-للدالة-+-3}-هي-(x)}-تساوي-(x)-=-x^2-3,,-x-0}-(x)-=-x^2-+-3,,-x-0}-(x)-=-x^2-3,,-x-0}-(x)-=-x^3-+-3,,-x-0","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",133,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","مجال الدالة $\"\"/$ يساوي:","encodedPrevQuestionSlug","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)-%3D-%7D-%7B2%7Dx-%2B-6%7D-%7B2%7Dx-%2B-8%7D-%7B2%7Dx-%2B-9%7D-%7B2%7Dx-%2B-12","encodedNextQuestionSlug","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)-%3D-x%5E2-3%2C%2C-x-0%7D-(x)-%3D-x%5E2-%2B-3%2C%2C-x-0%7D-(x)-%3D-x%5E2-3%2C%2C-x-0%7D-(x)-%3D-x%5E3-%2B-3%2C%2C-x-0","relatedQuestions",[100,120,140,160,180,200,220,240,260,280],{"_8":71,"_33":34,"_35":72,"_12":101,"_10":102,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":103,"_80":116,"_82":27,"_117":27,"_118":-5,"_55":119},"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 ",[104,107,110,113],{"_8":105,"_35":106},211018,"\\ltr{f(x) = \\frac{3}{2}x + 6}",{"_8":108,"_35":109},211019,"\\ltr{f(x) = \\frac{3}{2}x + 8}",{"_8":111,"_35":112},211020,"\\ltr{f(x) = \\frac{3}{2}x + 9}",{"_8":114,"_35":115},211021,"\\ltr{f(x) = \\frac{3}{2}x + 12}",[],"is_all_explanations_deleted","contents_tags_ids","إذا كانت $\"\"/$ فإن $\"\"/$ ",{"_8":121,"_33":34,"_35":122,"_12":123,"_10":124,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":125,"_80":138,"_82":27,"_117":27,"_118":-5,"_55":139},54627,"أوجد الدالة العكسية للدالة \\ltr{f(x) = \\frac{4x-2}{5}}","54627-%D8%A3%D9%88%D8%AC%D8%AF-%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-%7B5%7D%7D-%7B2%7D%7D-%7B4x-2%7D%7D-%7B4%7D%7D-%7B5","أوجد الدالة العكسية للدالة f(x) = 4x-2/5 A)f(x) = 5/4x-2 B)f(x) = 4x+5/2 C)f(x) = 2x-4/5 D)f(x) = 5x+2/4 ",[126,129,132,135],{"_8":127,"_35":128},211014,"\\ltr{f(x) = \\frac{5}{4x-2}}",{"_8":130,"_35":131},211015,"\\ltr{f(x) = \\frac{4x+5}{2}}",{"_8":133,"_35":134},211016,"\\ltr{f(x) = \\frac{2x-4}{5}}",{"_8":136,"_35":137},211017,"\\ltr{f(x) = \\frac{5x+2}{4}}",[],"أوجد الدالة العكسية للدالة $\"\"/$ ",{"_8":141,"_33":34,"_35":142,"_12":143,"_10":144,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":145,"_80":158,"_82":27,"_117":27,"_118":-5,"_55":159},54606,"أوجد مجال الدالة \\ltr{\\frac{x-7}{\\sqrt{1-x}}}","54606-%D8%A3%D9%88%D8%AC%D8%AF-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9","أوجد مجال الدالة x-7/√(1-x) A)x > 7 B)x < 1 C)x ≥7 D)x > 1 ",[146,149,152,155],{"_8":147,"_35":148},210930,"\\ltr{x > 7}",{"_8":150,"_35":151},210931,"\\ltr{x < 1}",{"_8":153,"_35":154},210932,"\\ltr{x \\geq 7}",{"_8":156,"_35":157},210933,"\\ltr{x > 1}",[],"أوجد مجال الدالة $\"\"/$ ",{"_8":161,"_33":34,"_35":162,"_12":163,"_10":164,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":165,"_80":178,"_82":27,"_117":27,"_118":-5,"_55":179},54553,"إذا كان \\ltr{g(x) = x^2 + 5} و \\ltr{f(x) = x-1} فإن \\ltr{(f \\circ g)(2)} = ؟","54553-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%88-%D9%81%D8%A5%D9%86","إذا كان g(x) = x^2 + 5 و f(x) = x-1 فإن (f ∘g)(2) = ؟ A)8 B)1 C)2 D)9 ",[166,169,172,175],{"_8":167,"_35":168},210718,"\\ltr{8}",{"_8":170,"_35":171},210719,"\\ltr{1}",{"_8":173,"_35":174},210720,"\\ltr{2}",{"_8":176,"_35":177},210721,"\\ltr{9}",[],"إذا كان $\"\"/$ و $\"\"/$ فإن $\"\"/$ = ؟",{"_8":181,"_33":34,"_35":182,"_12":183,"_10":184,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":27,"_49":-5,"_50":185,"_80":198,"_82":27,"_117":27,"_118":-5,"_55":199},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-%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","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} ",[186,189,192,195],{"_8":187,"_35":188},210663,"\\ltr{\\{x | x \\geq -2 , x \\neq 23\\}}",{"_8":190,"_35":191},210664,"\\ltr{\\mathbb{R} - \\{5\\}}",{"_8":193,"_35":194},210662,"\\ltr{\\{x | x \\geq -2 , x \\neq 5\\}}",{"_8":196,"_35":197},210665,"\\ltr{\\mathbb{R} - \\{-5\\}}",[],"إذا كان $\"\"/$ و $\"\"/$ فإن مجال $\"\"/$ ",{"_8":201,"_33":34,"_35":202,"_12":203,"_10":204,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":27,"_49":-5,"_50":205,"_80":218,"_82":27,"_117":27,"_118":-5,"_55":219},54526,"التمثيل البياني للدالة \\ltr{f(x) = |\\sqrt{x + 1}|} هو:","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","التمثيل البياني للدالة f(x) = |√(x + 1)| هو: A) B) C) D) ",[206,209,212,215],{"_8":207,"_35":208},210610,"11f08735_5c04_2fb4_84a4_5fd490b842e8_00",{"_8":210,"_35":211},210611,"11f08735_698e_d4a5_84a4_2d1ef7814d7c_00",{"_8":213,"_35":214},210612,"11f08735_7bdd_6a46_84a4_93e96fe58973_00",{"_8":216,"_35":217},210613,"11f08735_ab4c_0de9_84a4_97910d48b671_00",[],"التمثيل البياني للدالة $\"\"/$ هو:",{"_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,"_117":27,"_118":-5,"_55":239},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) ",[226,229,232,235],{"_8":227,"_35":228},210546,"\\ltr{\\frac{x-3}{x(x+5)}}",{"_8":230,"_35":231},210547,"\\ltr{\\frac{x+3}{x(x-5)}}",{"_8":233,"_35":234},210548,"\\ltr{\\frac{x-3}{x(x-5)}}",{"_8":236,"_35":237},210549,"\\ltr{\\frac{x+3}{x(x+5)}}",[],"ما أبسط صورة للمقدار: $\"\"/$ ",{"_8":241,"_33":34,"_35":242,"_12":243,"_10":244,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":245,"_80":258,"_82":27,"_117":27,"_118":-5,"_55":259},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 ",[246,249,252,255],{"_8":247,"_35":248},210534,"\\ltr{\\sqrt{\\frac{143}{14}}}",{"_8":250,"_35":251},210535,"\\ltr{\\frac{14\\sqrt{3}+3}{14}}",{"_8":253,"_35":254},210536,"\\ltr{\\frac{5}{6}}",{"_8":256,"_35":257},210537,"\\ltr{\\frac{1}{6}}",[],"إذا كانت $\"\"/$ و $\"\"/$ فما قيمة $\"\"/$ ؟",{"_8":261,"_33":34,"_35":262,"_12":263,"_10":264,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":265,"_80":278,"_82":27,"_117":27,"_118":-5,"_55":279},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 ",[266,269,272,275],{"_8":267,"_35":268},210444,"\\ltr{f(x) = 3\\sqrt{x+3} - 2}",{"_8":270,"_35":271},210445,"\\ltr{f(x) = 3\\sqrt{x-3} + 2}",{"_8":273,"_35":274},210442,"\\ltr{f(x) = 3\\sqrt{x-2} + 3}",{"_8":276,"_35":277},210443,"\\ltr{f(x) = 3\\sqrt{x+2} - 3}",[],"أي الدوال التالية ممثلة بالشكل التالي: $\"\"$ ",{"_8":281,"_33":34,"_35":282,"_12":283,"_10":284,"_41":42,"_43":44,"_74":91,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":285,"_80":298,"_82":27,"_117":27,"_118":-5,"_55":299},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) ",[286,289,292,295],{"_8":287,"_35":288},210426,"\\ltr{\\frac{3}{\\sqrt{2}}}",{"_8":290,"_35":291},210427,"\\ltr{\\frac{\\sqrt{3}}{2}}",{"_8":293,"_35":294},210428,"\\ltr{\\frac{3}{2}}",{"_8":296,"_35":297},210429,"\\ltr{\\sqrt{3}}",[],"قيمة المقدار $\"\"/$ تساوي:","detailedAnswer",[302,307,309,311],{"_8":62,"_35":63,"_303":27,"_304":305,"_306":-5},"is_correct","question_option_details",[],"has_access",{"_8":58,"_35":59,"_303":19,"_304":308,"_306":-5},[],{"_8":53,"_35":54,"_303":27,"_304":310,"_306":-5},[],{"_8":66,"_35":67,"_303":27,"_304":312,"_306":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

مجال الدالة يساوي:

مجال الدالة $\ltr{f(x) = \sqrt{x+2}}$ يساوي: