[{"_1":2,"_303":-5,"_304":-5},"loaderData",{"_3":4,"_28":29,"_302":-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,"_94":95,"_283":284,"_296":297,"_298":27,"_299":32,"_300":301},"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,"_65":66,"_71":72,"_76":77,"_78":27,"_79":-5,"_80":81,"_82":83,"_84":85,"_86":87,"_88":19,"_55":89,"_90":91,"_92":93},56136,"type","MULTIPLE_CHOICE","text","في الدالة \\ltr{f(x) = \\frac{1}{6}x^2 + 1} هناك...","في الدالة f(x) = 1/6x^2 + 1 هناك... A)تضييق رأسي وإزاحة رأسية للأعلى B)توسيع رأسي وإزاحة رأسية للأعلى C)توسيع أفقي وإزاحة رأسية للأعلى D)تضييق أفقي وإزاحة رأسية للأعلى ","56136-في-الدالة-{6}x^2-+-1}-هناك-تضييق-رأسي-وإزاحة-رأسية-للأعلى-توسيع-رأسي-وإزاحة-رأسية-للأعلى-توسيع-أفقي-وإزاحة-رأسية-للأعلى-تضييق-أفقي-وإزاحة-رأسية-للأعلى","order",117,"unit_id",50,"topic_id",3,"comparison_value1","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[52,56,59,62],{"_8":53,"_35":54,"_55":54},216687,"تضييق رأسي وإزاحة رأسية للأعلى","renderedText",{"_8":57,"_35":58,"_55":58},216688,"توسيع رأسي وإزاحة رأسية للأعلى",{"_8":60,"_35":61,"_55":61},216689,"توسيع أفقي وإزاحة رأسية للأعلى",{"_8":63,"_35":64,"_55":64},216690,"تضييق أفقي وإزاحة رأسية للأعلى","previous_question",{"_8":67,"_33":34,"_35":68,"_12":69,"_10":-5,"_45":-5,"_46":-5,"_47":-5,"_48":-5,"_41":-5,"_70":-5,"_43":-5,"_49":-5},56135,"إذا كانت \\ltr{f(x) = \\frac{4}{3}x^2 + 1} هي الدالة العكسية ل \\ltr{g(x)}، فما هي \\ltr{g(x)}؟","56135-إذا-كانت-{3}x^2-+-1}-هي-الدالة-العكسية-ل-فما-هي-{3}x-+-{3}-}-}-{4}x-{4}-}-}-{3}x-{3}-}-}-{4}x-+-{4","section_id","next_question",{"_8":73,"_33":34,"_35":74,"_12":75,"_10":-5,"_45":-5,"_46":-5,"_47":-5,"_48":-5,"_41":-5,"_70":-5,"_43":-5,"_49":-5},56141,"صف التغير الذي جرى على الدالة \\ltr{g(x) = \\frac{1}{x-2} + 1} علمًا أن الدالة الرئيسية الأم هي \\ltr{f(x) = \\frac{1}{x}}","56141-صف-التغير-الذي-جرى-على-الدالة-{x-2}-+-1}-علمًا-أن-الدالة-الرئيسية-الأم-هي-{x}}-وحدة-واحدة-لليمين-ووحدتين-للأسفل-وحدتين-لليمين-ووحدة-واحدة-للأعلى-وحدتين-لليسار-ووحدة-واحدة-للأعلى-وحدة","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",133,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","في الدالة $\"\"/$ هناك...","encodedPrevQuestionSlug","56135-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%7B3%7Dx%5E2-%2B-1%7D-%D9%87%D9%8A-%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%81%D9%85%D8%A7-%D9%87%D9%8A-%7B3%7Dx-%2B-%7B3%7D-%7D-%7D-%7B4%7Dx-%7B4%7D-%7D-%7D-%7B3%7Dx-%7B3%7D-%7D-%7D-%7B4%7Dx-%2B-%7B4","encodedNextQuestionSlug","56141-%D8%B5%D9%81-%D8%A7%D9%84%D8%AA%D8%BA%D9%8A%D8%B1-%D8%A7%D9%84%D8%B0%D9%8A-%D8%AC%D8%B1%D9%89-%D8%B9%D9%84%D9%89-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7Bx-2%7D-%2B-1%7D-%D8%B9%D9%84%D9%85%D9%8B%D8%A7-%D8%A3%D9%86-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D8%A7%D9%84%D8%B1%D8%A6%D9%8A%D8%B3%D9%8A%D8%A9-%D8%A7%D9%84%D8%A3%D9%85-%D9%87%D9%8A-%7Bx%7D%7D-%D9%88%D8%AD%D8%AF%D8%A9-%D9%88%D8%A7%D8%AD%D8%AF%D8%A9-%D9%84%D9%84%D9%8A%D9%85%D9%8A%D9%86-%D9%88%D9%88%D8%AD%D8%AF%D8%AA%D9%8A%D9%86-%D9%84%D9%84%D8%A3%D8%B3%D9%81%D9%84-%D9%88%D8%AD%D8%AF%D8%AA%D9%8A%D9%86-%D9%84%D9%84%D9%8A%D9%85%D9%8A%D9%86-%D9%88%D9%88%D8%AD%D8%AF%D8%A9-%D9%88%D8%A7%D8%AD%D8%AF%D8%A9-%D9%84%D9%84%D8%A3%D8%B9%D9%84%D9%89-%D9%88%D8%AD%D8%AF%D8%AA%D9%8A%D9%86-%D9%84%D9%84%D9%8A%D8%B3%D8%A7%D8%B1-%D9%88%D9%88%D8%AD%D8%AF%D8%A9-%D9%88%D8%A7%D8%AD%D8%AF%D8%A9-%D9%84%D9%84%D8%A3%D8%B9%D9%84%D9%89-%D9%88%D8%AD%D8%AF%D8%A9","relatedQuestions",[96,115,135,155,175,195,214,234,250,263],{"_8":67,"_33":34,"_35":68,"_12":91,"_10":97,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":98,"_76":111,"_78":27,"_112":27,"_113":-5,"_55":114},"إذا كانت f(x) = 4/3x^2 + 1 هي الدالة العكسية ل g(x)، فما هي g(x)؟ A)g(x) = √( 3/4x - 3/4 ) B)g(x) = √( 4/3x - 4/3 ) C)g(x) = √( 3/4x + 3/4 ) D)g(x) = √( 4/3x + 4/3 ) ",[99,102,105,108],{"_8":100,"_35":101},216683,"\\ltr{g(x) = \\sqrt{ \\frac{3}{4}x - \\frac{3}{4} } }",{"_8":103,"_35":104},216684,"\\ltr{g(x) = \\sqrt{ \\frac{4}{3}x - \\frac{4}{3} } }",{"_8":106,"_35":107},216685,"\\ltr{g(x) = \\sqrt{ \\frac{3}{4}x + \\frac{3}{4} } }",{"_8":109,"_35":110},216686,"\\ltr{g(x) = \\sqrt{ \\frac{4}{3}x + \\frac{4}{3} } }",[],"is_all_explanations_deleted","contents_tags_ids","إذا كانت $\"\"/$ هي الدالة العكسية ل $\"\"/$ ، فما هي $\"\"/$ ؟",{"_8":116,"_33":34,"_35":117,"_12":118,"_10":119,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":120,"_76":133,"_78":27,"_112":27,"_113":-5,"_55":134},56097,"أوجد الدالة العكسية لـ \\ltr{f(x) = \\sqrt{x+2}} :","56097-%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%80","أوجد الدالة العكسية لـ f(x) = √(x+2) : A)x^2 + 2, x ≥0 B)x^2 + 2, x ≤0 C)x^2 - 2, x ≤0 D)x^2 - 2, x ≥0 ",[121,124,127,130],{"_8":122,"_35":123},216630,"\\ltr{x^2 + 2, \\; x \\geq 0}",{"_8":125,"_35":126},216631,"\\ltr{x^2 + 2, \\; x \\leq 0}",{"_8":128,"_35":129},216632,"\\ltr{x^2 - 2, \\; x \\leq 0}",{"_8":131,"_35":132},216633,"\\ltr{x^2 - 2, \\; x \\geq 0}",[],"أوجد الدالة العكسية لـ $\"\"/$ :",{"_8":136,"_33":34,"_35":137,"_12":138,"_10":139,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":140,"_76":153,"_78":27,"_112":27,"_113":-5,"_55":154},56093,"العدد \\ltr{-\\sqrt{36}} ينتمي إلى ...","56093-%D8%A7%D9%84%D8%B9%D8%AF%D8%AF-%7D-%D9%8A%D9%86%D8%AA%D9%85%D9%8A-%D8%A5%D9%84%D9%89","العدد -√(36) ينتمي إلى ... A)Z B)Q C)W D)I ",[141,144,147,150],{"_8":142,"_35":143},216614,"\\ltr{Z}",{"_8":145,"_35":146},216615,"\\ltr{Q}",{"_8":148,"_35":149},216616,"\\ltr{W}",{"_8":151,"_35":152},216617,"\\ltr{I}",[],"العدد $\"\"/$ ينتمي إلى ...",{"_8":156,"_33":34,"_35":157,"_12":158,"_10":159,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":160,"_76":173,"_78":27,"_112":27,"_113":-5,"_55":174},56092,"سعة العدد المركب \\ltr{Z = 1 + \\sqrt{3}} تساوي...","56092-%D8%B3%D8%B9%D8%A9-%D8%A7%D9%84%D8%B9%D8%AF%D8%AF-%D8%A7%D9%84%D9%85%D8%B1%D9%83%D8%A8-%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7B3%7D%7D-%7B6%7D%7D-%7B2","سعة العدد المركب Z = 1 + √(3) تساوي... A)π/6 B)π/3 C)π D)π/2 ",[161,164,167,170],{"_8":162,"_35":163},216610,"\\ltr{\\frac{\\pi}{6}}",{"_8":165,"_35":166},216611,"\\ltr{\\frac{\\pi}{3}}",{"_8":168,"_35":169},216612,"\\ltr{\\pi}",{"_8":171,"_35":172},216613,"\\ltr{\\frac{\\pi}{2}}",[],"سعة العدد المركب $\"\"/$ تساوي...",{"_8":176,"_33":34,"_35":177,"_12":178,"_10":179,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":180,"_76":193,"_78":27,"_112":27,"_113":-5,"_55":194},56072,"ما قيمة b\\ltr{\\sqrt{\\frac{3}{2}x + b :}} إذا كان المجال \\ltr{x \\geq -4}","56072-%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-b%7B2%7Dx-%2B-b-%7D%7D-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-4-6-4-6","ما قيمة b√(3/2x + b :) إذا كان المجال x ≥-4 A)6 B)4 C)-6 D)-4 ",[181,184,187,190],{"_8":182,"_35":183},216530,"6",{"_8":185,"_35":186},216531,"4",{"_8":188,"_35":189},216532,"-6",{"_8":191,"_35":192},216533,"-4",[],"ما قيمة b $\"\"/$ إذا كان المجال $\"\"/$ ",{"_8":196,"_33":34,"_35":197,"_12":198,"_10":199,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":200,"_76":212,"_78":27,"_112":27,"_113":-5,"_55":213},56066,"ما قيمة \\ltr{\\sqrt{\\sqrt{16}}}","56066-%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%7D%7D-4-2-0-1","ما قيمة √(√(16)) A)4 B)2 C)0 D)1 ",[201,203,206,209],{"_8":202,"_35":186},216506,{"_8":204,"_35":205},216507,"2",{"_8":207,"_35":208},216508,"0",{"_8":210,"_35":211},216509,"1",[],"ما قيمة $\"\"/$ ",{"_8":215,"_33":34,"_35":216,"_12":217,"_10":218,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":219,"_76":232,"_78":27,"_112":27,"_113":-5,"_55":233},56061,"أي الدوال التالية ممثلة بالشكل التالي؟\n11f08ef9_e1ed_959c_94e0_4dfc907e9f92_00","56061-%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-3%7D-%2B-3%7D-2%7D-%2B-2","أي الدوال التالية ممثلة بالشكل التالي؟ A)f(x) = 3√(x-2) + 3 B)f(x) = 3√(x+2) - 3 C)f(x) = 2√(x+2) - 2 D)f(x) = 2√(x-3) + 2 ",[220,223,226,229],{"_8":221,"_35":222},216486,"\\ltr{f(x) = 3\\sqrt{x-2} + 3}",{"_8":224,"_35":225},216487,"\\ltr{f(x) = 3\\sqrt{x+2} - 3}",{"_8":227,"_35":228},216488,"\\ltr{f(x) = 2\\sqrt{x+2} - 2}",{"_8":230,"_35":231},216489,"\\ltr{f(x) = 2\\sqrt{x-3} + 2}",[],"أي الدوال التالية ممثلة بالشكل التالي؟ $\"\"$ ",{"_8":235,"_33":34,"_35":236,"_12":237,"_10":238,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":239,"_76":248,"_78":27,"_112":27,"_113":-5,"_55":249},55696,"العدد \\ltr{\\sqrt{-36}} ينتمي إلى ...","55696-%D8%A7%D9%84%D8%B9%D8%AF%D8%AF-%7D-%D9%8A%D9%86%D8%AA%D9%85%D9%8A-%D8%A5%D9%84%D9%89","العدد √(-36) ينتمي إلى ... A)Z B)Q C)W D)I ",[240,242,244,246],{"_8":241,"_35":143},215125,{"_8":243,"_35":146},215126,{"_8":245,"_35":149},215127,{"_8":247,"_35":152},215128,[],"العدد $\"\"/$ ينتمي إلى ...",{"_8":251,"_33":34,"_35":157,"_12":252,"_10":159,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":253,"_76":262,"_78":27,"_112":27,"_113":-5,"_55":174},55695,"55695-%D8%B3%D8%B9%D8%A9-%D8%A7%D9%84%D8%B9%D8%AF%D8%AF-%D8%A7%D9%84%D9%85%D8%B1%D9%83%D8%A8-%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7B6%7D%7D-%7B2%7D%7D-%7B3",[254,256,258,260],{"_8":255,"_35":163},215121,{"_8":257,"_35":166},215122,{"_8":259,"_35":169},215123,{"_8":261,"_35":172},215124,[],{"_8":264,"_33":34,"_35":265,"_12":266,"_10":267,"_41":42,"_43":44,"_70":87,"_45":-5,"_46":-5,"_47":27,"_48":19,"_49":-5,"_50":268,"_76":281,"_78":27,"_112":27,"_113":-5,"_55":282},55523,"إذا كان \\ltr{f(x) = x + 6} , \\ltr{g(x) = \\frac{1}{x+5}} أوجد مجال \\ltr{(f \\circ g)(x)}","55523-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%2C-%7Bx%2B5%7D%7D-%D8%A3%D9%88%D8%AC%D8%AF-%D9%85%D8%AC%D8%A7%D9%84","إذا كان f(x) = x + 6 , g(x) = 1/x+5 أوجد مجال (f ∘g)(x) A){x |x ≠1 } B){x |x ≠-1 } C){x |x ≠-5 } D){x |x ≠5 } ",[269,272,275,278],{"_8":270,"_35":271},214433,"\\ltr{\\{x \\mid x \\neq 1 \\}}",{"_8":273,"_35":274},214434,"\\ltr{\\{x \\mid x \\neq -1 \\}}",{"_8":276,"_35":277},214435,"\\ltr{\\{x \\mid x \\neq -5 \\}}",{"_8":279,"_35":280},214436,"\\ltr{\\{x \\mid x \\neq 5 \\}}",[],"إذا كان $\"\"/$ , $\"\"/$ أوجد مجال $\"\"/$ ","detailedAnswer",[285,290,292,294],{"_8":57,"_35":58,"_286":27,"_287":288,"_289":-5},"is_correct","question_option_details",[],"has_access",{"_8":63,"_35":64,"_286":27,"_287":291,"_289":-5},[],{"_8":60,"_35":61,"_286":27,"_287":293,"_289":-5},[],{"_8":53,"_35":54,"_286":19,"_287":295,"_289":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

في الدالة هناك...

في الدالة $\ltr{f(x) = \frac{1}{6}x^2 + 1}$ هناك...