[{"_1":2,"_352":-5,"_353":-5},"loaderData",{"_3":4,"_43":44,"_351":-5},"root",{"_5":6,"_39":40,"_41":42},"allTopics",[7],{"_8":9,"_10":11,"_12":13,"_14":15,"_16":17,"_37":38},"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},"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","topic_streams",[],"whiteLabelData",{},"isWhitelabeled",false,"routes/_visitor.question.$slug",{"_45":46,"_113":114,"_332":333,"_345":346,"_347":42,"_348":47,"_349":350},"loaderQuestion",{"_8":47,"_48":49,"_50":51,"_10":52,"_12":53,"_54":55,"_56":57,"_58":59,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":66,"_84":85,"_90":91,"_95":96,"_97":42,"_98":-5,"_99":100,"_101":102,"_103":104,"_105":106,"_107":19,"_70":108,"_109":110,"_111":112},51260,"type","MULTIPLE_CHOICE","text","أوجد الدالة العكسية للدالة \\ltr{f(x) = x^3 + 4}","أوجد الدالة العكسية للدالة f(x) = x^3 + 4 A)f^-1(x) = (x + 4)^1/3 B)f^-1(x) = (x - 4)^1/3 C)f^-1(x) = (x - 4)^ 3 D)f^-1(x) = (x - 2)^1/3 ","51260-أوجد-الدالة-العكسية-للدالة-(x)-=-(x-4)^{{3}}}-(x)-=-(x-2)^{{3}}}-(x)-=-(x-4)^{-{-}{3}}}-(x)-=-(x-+-4)^{{3","order",60,"unit_id",50,"topic_id",3,"comparison_value1","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[67,72,76,80],{"_8":68,"_50":69,"_70":71},198470,"\\ltr{f^{-1}(x) = (x + 4)^{\\frac{1}{3}}}","renderedText"," $\"\"/$ ",{"_8":73,"_50":74,"_70":75},198471,"\\ltr{f^{-1}(x) = (x - 4)^{\\frac{1}{3}}}"," $\"\"/$ ",{"_8":77,"_50":78,"_70":79},198472,"\\ltr{f^{-1}(x) = (x - 4)^{ { }{3}}}"," $\"\"/$ ",{"_8":81,"_50":82,"_70":83},198473,"\\ltr{f^{-1}(x) = (x - 2)^{\\frac{1}{3}}}"," $\"\"/$ ","previous_question",{"_8":86,"_48":49,"_50":87,"_12":88,"_10":-5,"_60":-5,"_61":-5,"_62":-5,"_63":-5,"_56":-5,"_89":-5,"_58":-5,"_64":-5},51248,"ما هي الدالة الممثلة في الشكل التالي؟\n11f07ce1_95af_afad_b7c4_2551c4866ae0_00","51248-ما-هي-الدالة-الممثلة-في-الشكل-التالي","section_id","next_question",{"_8":92,"_48":49,"_50":93,"_12":94,"_10":-5,"_60":-5,"_61":-5,"_62":-5,"_63":-5,"_56":-5,"_89":-5,"_58":-5,"_64":-5},51263,"ما الانسحاب الأفقي للدالة: \\ltr{f(x) = \\frac{-3}{x-3} + 4}","51263-ما-الانسحاب-الأفقي-للدالة-{x-3}-+-4}-3-لليمين-4-لليمين-3-لليسار-4-لليسار","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",243,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","أوجد الدالة العكسية للدالة $\"\"/$ ","encodedPrevQuestionSlug","51248-%D9%85%D8%A7-%D9%87%D9%8A-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D8%A7%D9%84%D9%85%D9%85%D8%AB%D9%84%D8%A9-%D9%81%D9%8A-%D8%A7%D9%84%D8%B4%D9%83%D9%84-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A","encodedNextQuestionSlug","51263-%D9%85%D8%A7-%D8%A7%D9%84%D8%A7%D9%86%D8%B3%D8%AD%D8%A7%D8%A8-%D8%A7%D9%84%D8%A3%D9%81%D9%82%D9%8A-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7Bx-3%7D-%2B-4%7D-3-%D9%84%D9%84%D9%8A%D9%85%D9%8A%D9%86-4-%D9%84%D9%84%D9%8A%D9%85%D9%8A%D9%86-3-%D9%84%D9%84%D9%8A%D8%B3%D8%A7%D8%B1-4-%D9%84%D9%84%D9%8A%D8%B3%D8%A7%D8%B1","relatedQuestions",[115,141,164,187,211,231,246,269,287,310],{"_8":116,"_48":49,"_50":117,"_12":118,"_10":119,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":121,"_95":134,"_97":42,"_135":42,"_136":137,"_70":117},51241,"أي الدوال التالية ليس لها دالة عكسية؟","51241-%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%84%D9%8A%D8%B3-%D9%84%D9%87%D8%A7-%D8%AF%D8%A7%D9%84%D8%A9-%D8%B9%D9%83%D8%B3%D9%8A%D8%A9-%7D-%7Bx-3","أي الدوال التالية ليس لها دالة عكسية؟ A)x-1/x-3 B)2x+2 C)2x^2+2 D)√(x-3) ","unit_name",[122,125,128,131],{"_8":123,"_50":124},198394,"\\ltr{\\frac{x-1}{x-3}}",{"_8":126,"_50":127},198395,"\\ltr{2x+2}",{"_8":129,"_50":130},198396,"\\ltr{2x^2+2}",{"_8":132,"_50":133},198397,"\\ltr{\\sqrt{x-3}}",[],"is_all_explanations_deleted","contents_tags_ids",{"_138":139},"ids",[140],1548,{"_8":142,"_48":49,"_50":143,"_12":144,"_10":145,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":146,"_95":159,"_97":42,"_135":42,"_136":160,"_70":163},51160,"أي الدوال التالية ممثلة في الشكل؟\n11f07cd1_e301_a480_b7c4_e1cdfd10ed78_00","51160-%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-%D9%81%D9%8A-%D8%A7%D9%84%D8%B4%D9%83%D9%84-%2B3%7D-2%7D-3%7D-%2B2","أي الدوال التالية ممثلة 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 ",[147,150,153,156],{"_8":148,"_50":149},198070,"\\ltr{f(x) = 3 \\sqrt{x-2}+3}",{"_8":151,"_50":152},198071,"\\ltr{f(x) = 3 \\sqrt{x+3}-2}",{"_8":154,"_50":155},198072,"\\ltr{f(x) = 3 \\sqrt{x+2}-3}",{"_8":157,"_50":158},198073,"\\ltr{f(x) = 3 \\sqrt{x-3}+2}",[],{"_138":161},[140,162],1549,"أي الدوال التالية ممثلة في الشكل؟ $\"\"$ ",{"_8":165,"_48":49,"_50":166,"_12":167,"_10":168,"_56":169,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":170,"_95":183,"_97":42,"_135":42,"_136":184,"_70":186},51139,"إذا كان \\ltr{f(x) = x^2 + 3} ، \\ltr{g(x) = x + 3}، فأوجد \\ltr{(f + g)(x)}:","51139-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%81%D8%A3%D9%88%D8%AC%D8%AF","إذا كان f(x) = x^2 + 3 ، g(x) = x + 3، فأوجد (f + g)(x): A)x^2 + 6 B)x^2 + x + 6 C)x^2 - 9 D)x^3 + 3 ",49,[171,174,177,180],{"_8":172,"_50":173},197986,"\\ltr{x^2 + 6}",{"_8":175,"_50":176},197987,"\\ltr{x^2 + x + 6}",{"_8":178,"_50":179},197988,"\\ltr{x^2 - 9}",{"_8":181,"_50":182},197989,"\\ltr{x^3 + 3}",[],{"_138":185},[140],"إذا كان $\"\"/$ ، $\"\"/$ ، فأوجد $\"\"/$ :",{"_8":188,"_48":49,"_50":189,"_12":190,"_10":191,"_56":192,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":193,"_95":206,"_97":42,"_135":42,"_136":207,"_70":210},51020,"للدالة \\ltr{f(x) = 6^x - 3}","51020-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D8%A7%D8%B2%D8%A7%D8%AD%D8%A9-%D8%B1%D8%A3%D8%B3%D9%8A%D8%A9-%D9%84%D9%84%D8%A3%D8%B3%D9%81%D9%84-%D8%A7%D8%B2%D8%A7%D8%AD%D8%A9-%D8%A3%D9%81%D9%82%D9%8A%D8%A9-%D9%84%D9%84%D9%8A%D8%B3%D8%A7%D8%B1-%D8%A7%D8%B2%D8%A7%D8%AD%D8%A9-%D8%B1%D8%A3%D8%B3%D9%8A%D8%A9-%D9%84%D9%84%D8%A3%D8%B9%D9%84%D9%89-%D8%A7%D8%B2%D8%A7%D8%AD%D8%A9-%D8%A3%D9%81%D9%82%D9%8A%D8%A9-%D9%84%D9%84%D9%8A%D9%85%D9%8A%D9%86","للدالة f(x) = 6^x - 3 A)ازاحة رأسية للأعلى B)ازاحة أفقية لليمين C)ازاحة رأسية للأسفل D)ازاحة أفقية لليسار ",54,[194,197,200,203],{"_8":195,"_50":196},197510,"ازاحة رأسية للأعلى",{"_8":198,"_50":199},197511,"ازاحة أفقية لليمين",{"_8":201,"_50":202},197512,"ازاحة رأسية للأسفل",{"_8":204,"_50":205},197513,"ازاحة أفقية لليسار",[],{"_138":208},[140,209],1556,"للدالة $\"\"/$ ",{"_8":212,"_48":49,"_50":51,"_12":213,"_10":214,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":215,"_95":228,"_97":42,"_135":42,"_136":229,"_70":108},50997,"50997-%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-(x)-=-(x-4)%5E%7B%7B3%7D%7D%7D-(x)-=-(x%2B4)%5E%7B%7B3%7D%7D%7D-(x)-=-(x-4)%5E%7B%7B3%7D%7D%7D-(x)-=-(x%2B4)%5E%7B%7B3","أوجد الدالة العكسية للدالة f(x) = x^3 + 4 A)f^-1(x) = (x+4)^1/3 B)f^-1(x) = (x-4)^1/3 C)f^-1(x) = (x+4)^2/3 D)f^-1(x) = (x-4)^2/3 ",[216,219,222,225],{"_8":217,"_50":218},197418,"\\ltr{f^{-1}(x) = (x+4)^{\\frac{1}{3}}}",{"_8":220,"_50":221},197419,"\\ltr{f^{-1}(x) = (x-4)^{\\frac{1}{3}}}",{"_8":223,"_50":224},197420,"\\ltr{f^{-1}(x) = (x+4)^{\\frac{2}{3}}}",{"_8":226,"_50":227},197421,"\\ltr{f^{-1}(x) = (x-4)^{\\frac{2}{3}}}",[],{"_138":230},[140],{"_8":232,"_48":49,"_50":117,"_12":233,"_10":119,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":234,"_95":243,"_97":42,"_135":42,"_136":244,"_70":117},50953,"50953-%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%84%D9%8A%D8%B3-%D9%84%D9%87%D8%A7-%D8%AF%D8%A7%D9%84%D8%A9-%D8%B9%D9%83%D8%B3%D9%8A%D8%A9-%7Bx-3",[235,237,239,241],{"_8":236,"_50":124},197242,{"_8":238,"_50":127},197243,{"_8":240,"_50":130},197244,{"_8":242,"_50":133},197245,[],{"_138":245},[140],{"_8":247,"_48":49,"_50":248,"_12":249,"_10":250,"_56":251,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":252,"_95":265,"_97":42,"_135":42,"_136":266,"_70":268},50626,"إذا كان \\ltr{g(x) = 1}, \\ltr{f(x) = x^2 + 3x}، فما قيمة \\ltr{[g \\circ f](x)}؟","50626-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%2C-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-1-2-4-3","إذا كان g(x) = 1, f(x) = x^2 + 3x، فما قيمة [g ∘f](x)؟ A)1 B)2 C)3 D)4 ",48,[253,256,259,262],{"_8":254,"_50":255},196000,"1",{"_8":257,"_50":258},196001,"2",{"_8":260,"_50":261},196002,"3",{"_8":263,"_50":264},196003,"4",[],{"_138":267},[140],"إذا كان $\"\"/$ , $\"\"/$ ، فما قيمة $\"\"/$ ؟",{"_8":270,"_48":49,"_50":271,"_12":272,"_10":273,"_56":251,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":274,"_95":283,"_97":42,"_135":42,"_136":284,"_70":286},50548,"إذا كان \\ltr{f(x) = x^2 + 3} ، \\ltr{g(x) = x + 3} ، فأوجد: \\ltr{(f+g)(x)}","50548-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%81%D8%A3%D9%88%D8%AC%D8%AF","إذا كان f(x) = x^2 + 3 ، g(x) = x + 3 ، فأوجد: (f+g)(x) A)x^2 + 6 B)x^2 + x + 6 C)x^2 - 9 D)x^3 + 3 ",[275,277,279,281],{"_8":276,"_50":173},195688,{"_8":278,"_50":176},195689,{"_8":280,"_50":179},195690,{"_8":282,"_50":182},195691,[],{"_138":285},[140],"إذا كان $\"\"/$ ، $\"\"/$ ، فأوجد: $\"\"/$ ",{"_8":288,"_48":49,"_50":289,"_12":290,"_10":291,"_56":251,"_120":-5,"_58":59,"_89":106,"_60":292,"_61":292,"_62":42,"_63":19,"_64":-5,"_65":293,"_95":306,"_97":42,"_135":42,"_136":307,"_70":309},50427,"إذا كان: \\ltr{f(x) = 3x^2 + 4x} ، \\ltr{g(x) = x^2 + 5} ، \\ltr{h(x) = 7x^2 - 3x + 5} ، فما قيمة \\ltr{(f \\cdot g + h)(2)} ؟","50427-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9","إذا كان: f(x) = 3x^2 + 4x ، g(x) = x^2 + 5 ، h(x) = 7x^2 - 3x + 5 ، فما قيمة (f ·g + h)(2) ؟ A)162 B)277 C)207 D)217 ","",[294,297,300,303],{"_8":295,"_50":296},195237,"\\ltr{162}",{"_8":298,"_50":299},195238,"\\ltr{277}",{"_8":301,"_50":302},195239,"\\ltr{207}",{"_8":304,"_50":305},195240,"\\ltr{217}",[],{"_138":308},[140],"إذا كان: $\"\"/$ ، $\"\"/$ ، $\"\"/$ ، فما قيمة $\"\"/$ ؟",{"_8":311,"_48":49,"_50":312,"_12":313,"_10":314,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":292,"_61":292,"_62":42,"_63":19,"_64":-5,"_65":315,"_95":328,"_97":42,"_135":42,"_136":329,"_70":331},45841,"إذا كان \\ltr{f(x) = \\sqrt{x-4}} فما مجال الدالة \\ltr{f^{-1}(x)} ؟","45841-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%7D-%D9%81%D9%85%D8%A7-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-(x)%7D-%7D-4-%7D-2","إذا كان f(x) = √(x-4) فما مجال الدالة f^-1(x) ؟ A)𝐑 - { ±2 } B)𝐑 - { ±4 } C)[0, ∞) D)𝐑 ",[316,319,322,325],{"_8":317,"_50":318},178081,"\\ltr{\\mathbf{R} - \\{ \\pm 2 \\}}",{"_8":320,"_50":321},178082,"\\ltr{\\mathbf{R} - \\{ \\pm 4 \\}}",{"_8":323,"_50":324},178083,"\\ltr{[0, \\infty)}",{"_8":326,"_50":327},178084,"\\ltr{\\mathbf{R}}",[],{"_138":330},[140],"إذا كان $\"\"/$ فما مجال الدالة $\"\"/$ ؟","detailedAnswer",[334,339,341,343],{"_8":68,"_50":69,"_335":42,"_336":337,"_338":-5},"is_correct","question_option_details",[],"has_access",{"_8":73,"_50":74,"_335":19,"_336":340,"_338":-5},[],{"_8":77,"_50":78,"_335":42,"_336":342,"_338":-5},[],{"_8":81,"_50":82,"_335":42,"_336":344,"_338":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]