[{"_1":2,"_353":-5,"_354":-5},"loaderData",{"_3":4,"_44":45,"_352":-5},"root",{"_5":6,"_40":41,"_42":43},"allTopics",[7],{"_8":9,"_10":11,"_12":13,"_14":15,"_16":17,"_38":39},"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,"_24":19,"_25":19,"_26":19,"_27":19,"_28":19,"_29":19,"_30":19,"_31":19,"_32":19,"_33":19,"_34":19,"_35":19,"_36":19,"_37":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","question_bank_page","esdarat_page","namathej_page","user_reviews_page","golden_page","study_plan_page","support_exam","data_in_arabic","overview_page","support_mohaki_exam","support_custom_exam","check_placement_test_level","show_golden_pop_up","support_glossary","topic_streams",[],"whiteLabelData",{},"isWhitelabeled",false,"routes/_visitor.question.$slug",{"_46":47,"_110":111,"_333":334,"_346":347,"_348":43,"_349":48,"_350":351},"loaderQuestion",{"_8":48,"_49":50,"_51":52,"_10":53,"_12":54,"_55":56,"_57":58,"_59":60,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":67,"_81":82,"_87":88,"_92":93,"_94":43,"_95":-5,"_96":97,"_98":99,"_100":101,"_102":103,"_104":19,"_71":105,"_106":107,"_108":109},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",[68,72,75,78],{"_8":69,"_51":70,"_71":70},216687,"تضييق رأسي وإزاحة رأسية للأعلى","renderedText",{"_8":73,"_51":74,"_71":74},216688,"توسيع رأسي وإزاحة رأسية للأعلى",{"_8":76,"_51":77,"_71":77},216689,"توسيع أفقي وإزاحة رأسية للأعلى",{"_8":79,"_51":80,"_71":80},216690,"تضييق أفقي وإزاحة رأسية للأعلى","previous_question",{"_8":83,"_49":50,"_51":84,"_12":85,"_10":-5,"_61":-5,"_62":-5,"_63":-5,"_64":-5,"_57":-5,"_86":-5,"_59":-5,"_65":-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":89,"_49":50,"_51":90,"_12":91,"_10":-5,"_61":-5,"_62":-5,"_63":-5,"_64":-5,"_57":-5,"_86":-5,"_59":-5,"_65":-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",250,"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",[112,136,159,181,203,225,247,269,291,315],{"_8":83,"_49":50,"_51":84,"_12":107,"_10":113,"_57":58,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":115,"_92":128,"_94":43,"_129":43,"_130":131,"_71":135},"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 ) ","unit_name",[116,119,122,125],{"_8":117,"_51":118},216683,"\\ltr{g(x) = \\sqrt{ \\frac{3}{4}x - \\frac{3}{4} } }",{"_8":120,"_51":121},216684,"\\ltr{g(x) = \\sqrt{ \\frac{4}{3}x - \\frac{4}{3} } }",{"_8":123,"_51":124},216685,"\\ltr{g(x) = \\sqrt{ \\frac{3}{4}x + \\frac{3}{4} } }",{"_8":126,"_51":127},216686,"\\ltr{g(x) = \\sqrt{ \\frac{4}{3}x + \\frac{4}{3} } }",[],"is_all_explanations_deleted","contents_tags_ids",{"_132":133},"ids",[134],1548,"إذا كانت $\"\"/$ هي الدالة العكسية ل $\"\"/$ ، فما هي $\"\"/$ ؟",{"_8":137,"_49":50,"_51":138,"_12":139,"_10":140,"_57":58,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":141,"_92":154,"_94":43,"_129":43,"_130":155,"_71":158},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 ",[142,145,148,151],{"_8":143,"_51":144},216630,"\\ltr{x^2 + 2, \\; x \\geq 0}",{"_8":146,"_51":147},216631,"\\ltr{x^2 + 2, \\; x \\leq 0}",{"_8":149,"_51":150},216632,"\\ltr{x^2 - 2, \\; x \\leq 0}",{"_8":152,"_51":153},216633,"\\ltr{x^2 - 2, \\; x \\geq 0}",[],{"_132":156},[134,157],1549,"أوجد الدالة العكسية لـ $\"\"/$ :",{"_8":160,"_49":50,"_51":161,"_12":162,"_10":163,"_57":58,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":164,"_92":177,"_94":43,"_129":43,"_130":178,"_71":180},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 } ",[165,168,171,174],{"_8":166,"_51":167},214433,"\\ltr{\\{x \\mid x \\neq 1 \\}}",{"_8":169,"_51":170},214434,"\\ltr{\\{x \\mid x \\neq -1 \\}}",{"_8":172,"_51":173},214435,"\\ltr{\\{x \\mid x \\neq -5 \\}}",{"_8":175,"_51":176},214436,"\\ltr{\\{x \\mid x \\neq 5 \\}}",[],{"_132":179},[134],"إذا كان $\"\"/$ , $\"\"/$ أوجد مجال $\"\"/$ ",{"_8":182,"_49":50,"_51":183,"_12":184,"_10":185,"_57":58,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":19,"_64":19,"_65":-5,"_66":186,"_92":199,"_94":43,"_129":43,"_130":200,"_71":202},55206,"أي من الدوال الآتية هي دالة عكسية للدالة: \\ltr{f(x) = \\frac{2 + x}{3}}","55206-%D8%A3%D9%8A-%D9%85%D9%86-%D8%A7%D9%84%D8%AF%D9%88%D8%A7%D9%84-%D8%A7%D9%84%D8%A2%D8%AA%D9%8A%D8%A9-%D9%87%D9%8A-%D8%AF%D8%A7%D9%84%D8%A9-%D8%B9%D9%83%D8%B3%D9%8A%D8%A9-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7B3","أي من الدوال الآتية هي دالة عكسية للدالة: f(x) = 2 + x/3 A)3x - 2 B)3x + 2 C)2x + 3 D)2x - 3 ",[187,190,193,196],{"_8":188,"_51":189},213264,"\\ltr{3x - 2}",{"_8":191,"_51":192},213265,"\\ltr{3x + 2}",{"_8":194,"_51":195},213266,"\\ltr{2x + 3}",{"_8":197,"_51":198},213267,"\\ltr{2x - 3}",[],{"_132":201},[134],"أي من الدوال الآتية هي دالة عكسية للدالة: $\"\"/$ ",{"_8":204,"_49":50,"_51":205,"_12":206,"_10":207,"_57":58,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":208,"_92":221,"_94":43,"_129":43,"_130":222,"_71":224},54823,"اذا كانت \\ltr{g(x)} دالة عكسية للدالة \\ltr{f(x) = 4x^2 - 1} فأوجد \\ltr{[fog](x)}","54823-%D8%A7%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D8%AF%D8%A7%D9%84%D8%A9-%D8%B9%D9%83%D8%B3%D9%8A%D8%A9-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D9%81%D8%A3%D9%88%D8%AC%D8%AF-%7B2%7D%7D%7D-%7B4","اذا كانت g(x) دالة عكسية للدالة f(x) = 4x^2 - 1 فأوجد [fog](x) A)√(x-1/4) B)x C)√(x-1/2) D)1 ",[209,212,215,218],{"_8":210,"_51":211},211798,"\\ltr{\\sqrt{\\frac{x-1}{4}}}",{"_8":213,"_51":214},211799,"\\ltr{x}",{"_8":216,"_51":217},211800,"\\ltr{\\sqrt{\\frac{x-1}{2}}}",{"_8":219,"_51":220},211801,"\\ltr{1}",[],{"_132":223},[134],"اذا كانت $\"\"/$ دالة عكسية للدالة $\"\"/$ فأوجد $\"\"/$ ",{"_8":226,"_49":50,"_51":227,"_12":228,"_10":229,"_57":58,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":230,"_92":243,"_94":43,"_129":43,"_130":244,"_71":246},54735,"إذا كان \\ltr{f^{-1}(x) = \\frac{4}{3}x^2 - 1} فإن \\ltr{f(x)=}","54735-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-(x)-=-%7B3%7Dx%5E2-1%7D-%D9%81%D8%A5%D9%86-%7B2%7D%7D%2C--x-1%7D-%7B2%7D%7D%2C--x-1%7D-%7B2%7D%7D%2C--x-1%7D-%7B2%7D%7D%2C--x-1","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 ",[231,234,237,240],{"_8":232,"_51":233},211446,"\\ltr{\\sqrt{\\frac{3(x-1)}{2}}, \\ x \\geq -1}",{"_8":235,"_51":236},211447,"\\ltr{-\\sqrt{\\frac{3(x-1)}{2}}, \\ x \\geq -1}",{"_8":238,"_51":239},211448,"\\ltr{\\sqrt{\\frac{3(x+1)}{2}}, \\ x \\geq -1}",{"_8":241,"_51":242},211449,"\\ltr{3\\sqrt{\\frac{(x-1)}{2}}, \\ x \\geq -1}",[],{"_132":245},[134],"إذا كان $\"\"/$ فإن $\"\"/$ ",{"_8":248,"_49":50,"_51":249,"_12":250,"_10":251,"_57":252,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":253,"_92":265,"_94":43,"_129":43,"_130":266,"_71":268},54733,"إذا كان \\ltr{f(x) = 3x^2 + 2x} و \\ltr{g(x) = 1} فإن \\ltr{(g \\circ f)(x) =} ......","54733-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%88-%D9%81%D8%A5%D9%86","إذا كان f(x) = 3x^2 + 2x و g(x) = 1 فإن (g ∘f)(x) = ...... A)1 B)2 C)3 D)4 ",48,[254,256,259,262],{"_8":255,"_51":220},211438,{"_8":257,"_51":258},211439,"\\ltr{2}",{"_8":260,"_51":261},211440,"\\ltr{3}",{"_8":263,"_51":264},211441,"\\ltr{4}",[],{"_132":267},[134],"إذا كان $\"\"/$ و $\"\"/$ فإن $\"\"/$ ......",{"_8":270,"_49":50,"_51":271,"_12":272,"_10":273,"_57":58,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":274,"_92":287,"_94":43,"_129":43,"_130":288,"_71":290},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} ",[275,278,281,284],{"_8":276,"_51":277},211366,"\\ltr{\\mathbb{R} - \\{2\\}}",{"_8":279,"_51":280},211367,"\\ltr{\\mathbb{R} - \\{-2\\}}",{"_8":282,"_51":283},211368,"\\ltr{\\mathbb{R} - \\{4\\}}",{"_8":285,"_51":286},211369,"\\ltr{\\mathbb{R} - \\{-4\\}}",[],{"_132":289},[134],"إذا كان $\"\"/$ و $\"\"/$ فإن مجال $\"\"/$ ",{"_8":292,"_49":50,"_51":293,"_12":294,"_10":295,"_57":296,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":297,"_92":310,"_94":43,"_129":43,"_130":311,"_71":314},54696,"إذا كان \\ltr{f(x) = 4x^2 - 8}، فإن \\ltr{f(x-1)} تساوي:","54696-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%81%D8%A5%D9%86-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A","إذا كان f(x) = 4x^2 - 8، فإن f(x-1) تساوي: A)4x^2 - 8x - 4 B)4x^2 - 2x - 9 C)4x^2 - 8x - 12 D)4x^2 - 9 ",49,[298,301,304,307],{"_8":299,"_51":300},211290,"\\ltr{4x^2 - 8x - 4}",{"_8":302,"_51":303},211291,"\\ltr{4x^2 - 2x - 9}",{"_8":305,"_51":306},211292,"\\ltr{4x^2 - 8x - 12}",{"_8":308,"_51":309},211293,"\\ltr{4x^2 - 9}",[],{"_132":312},[313,134],1542,"إذا كان $\"\"/$ ، فإن $\"\"/$ تساوي:",{"_8":316,"_49":50,"_51":317,"_12":318,"_10":319,"_57":58,"_114":-5,"_59":60,"_86":103,"_61":-5,"_62":-5,"_63":43,"_64":19,"_65":-5,"_66":320,"_92":329,"_94":43,"_129":43,"_130":330,"_71":332},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 ",[321,323,325,327],{"_8":322,"_51":189},211062,{"_8":324,"_51":192},211063,{"_8":326,"_51":195},211064,{"_8":328,"_51":198},211065,[],{"_132":331},[134],"أي الدوال التالية هي العكسية للدالة $\"\"/$ ؟","detailedAnswer",[335,340,342,344],{"_8":69,"_51":70,"_336":19,"_337":338,"_339":-5},"is_correct","question_option_details",[],"has_access",{"_8":73,"_51":74,"_336":43,"_337":341,"_339":-5},[],{"_8":76,"_51":77,"_336":43,"_337":343,"_339":-5},[],{"_8":79,"_51":80,"_336":43,"_337":345,"_339":-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...