[{"_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":42,"_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},52257,"type","MULTIPLE_CHOICE","text","إذا كانت \\ltr{g(x) = \\frac{1}{f(x)}}، فإن \\ltr{f(x)} تكون دالة عكسية لـ \\ltr{g(x)} عندما ..","إذا كانت g(x) = 1/f(x)، فإن f(x) تكون دالة عكسية لـ g(x) عندما .. A)(f ∘g)(x) = (g ∘f)(x) = x B)(f ∘g)=(x) C)(f ∘g) g=(x) D)(g ∘f)(x) = (f ∘g)(x) = x ","52257-إذا-كانت-{f(x)}}-فإن-تكون-دالة-عكسية-لـ-عندما","order",67,"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},202000,"\\ltr{(f \\circ g)(x) = (g \\circ f)(x) = x}","renderedText"," $\"\"/$ ",{"_8":73,"_50":74,"_70":75},202001,"\\ltr{(f \\circ g)=(x) }"," $\"\"/$ ",{"_8":77,"_50":78,"_70":79},202002,"\\ltr{(f \\circ g) g=(x) }"," $\"\"/$ ",{"_8":81,"_50":82,"_70":83},202003,"\\ltr{(g \\circ f)(x) = (f \\circ g)(x) = x}"," $\"\"/$ ","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},52243,"إذا كانت y تتغير عكسياً مع x وكانت \\ltr{y = 3} عندما \\ltr{x = 4}، فما قيمة x عندما \\ltr{y = 2}؟","52243-إذا-كانت-y-تتغير-عكسياً-مع-x-وكانت-عندما-فما-قيمة-x-عندما-1-2","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},52383,"إذا كان \\ltr{f(x) = \\sqrt{x-1} + 7} فأي التالي صحيح؟","52383-إذا-كان-+-7}-فأي-التالي-صحيح-المجال-}-والمدى-}-كِلا-من-المجال-والمدى-}-المجال-}-والمدى-}-المجال-}-والمدى","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",243,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","إذا كانت $\"\"/$ ، فإن $\"\"/$ تكون دالة عكسية لـ $\"\"/$ عندما ..","encodedPrevQuestionSlug","52243-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-y-%D8%AA%D8%AA%D8%BA%D9%8A%D8%B1-%D8%B9%D9%83%D8%B3%D9%8A%D8%A7%D9%8B-%D9%85%D8%B9-x-%D9%88%D9%83%D8%A7%D9%86%D8%AA-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-x-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-1-2","encodedNextQuestionSlug","52383-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%2B-7%7D-%D9%81%D8%A3%D9%8A-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A-%D8%B5%D8%AD%D9%8A%D8%AD-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-%7D-%D9%88%D8%A7%D9%84%D9%85%D8%AF%D9%89-%7D-%D9%83%D9%90%D9%84%D8%A7-%D9%85%D9%86-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-%D9%88%D8%A7%D9%84%D9%85%D8%AF%D9%89-%7D-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-%7D-%D9%88%D8%A7%D9%84%D9%85%D8%AF%D9%89-%7D-%D8%A7%D9%84%D9%85%D8%AC%D8%A7%D9%84-%7D-%D9%88%D8%A7%D9%84%D9%85%D8%AF%D9%89","relatedQuestions",[115,143,165,186,209,232,256,276,291,314],{"_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":142},51263,"ما الانسحاب الأفقي للدالة: \\ltr{f(x) = \\frac{-3}{x-3} + 4}","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","ما الانسحاب الأفقي للدالة: f(x) = -3/x-3 + 4 A)3 لليمين B)4 لليمين C)3 لليسار D)4 لليسار ","unit_name",[122,125,128,131],{"_8":123,"_50":124},198482,"3 لليمين",{"_8":126,"_50":127},198483,"4 لليمين",{"_8":129,"_50":130},198484,"3 لليسار",{"_8":132,"_50":133},198485,"4 لليسار",[],"is_all_explanations_deleted","contents_tags_ids",{"_138":139},"ids",[140,141],1548,1550,"ما الانسحاب الأفقي للدالة: $\"\"/$ ",{"_8":144,"_48":49,"_50":145,"_12":146,"_10":147,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":148,"_95":161,"_97":42,"_135":42,"_136":162,"_70":164},51260,"أوجد الدالة العكسية للدالة \\ltr{f(x) = x^3 + 4}","51260-%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-2)%5E%7B%7B3%7D%7D%7D-(x)-=-(x-4)%5E%7B-%7B-%7D%7B3%7D%7D%7D-(x)-=-(x-%2B-4)%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)^ 3 D)f^-1(x) = (x - 2)^1/3 ",[149,152,155,158],{"_8":150,"_50":151},198470,"\\ltr{f^{-1}(x) = (x + 4)^{\\frac{1}{3}}}",{"_8":153,"_50":154},198471,"\\ltr{f^{-1}(x) = (x - 4)^{\\frac{1}{3}}}",{"_8":156,"_50":157},198472,"\\ltr{f^{-1}(x) = (x - 4)^{ { }{3}}}",{"_8":159,"_50":160},198473,"\\ltr{f^{-1}(x) = (x - 2)^{\\frac{1}{3}}}",[],{"_138":163},[140],"أوجد الدالة العكسية للدالة $\"\"/$ ",{"_8":166,"_48":49,"_50":167,"_12":168,"_10":169,"_56":57,"_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":167},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) ",[171,174,177,180],{"_8":172,"_50":173},198394,"\\ltr{\\frac{x-1}{x-3}}",{"_8":175,"_50":176},198395,"\\ltr{2x+2}",{"_8":178,"_50":179},198396,"\\ltr{2x^2+2}",{"_8":181,"_50":182},198397,"\\ltr{\\sqrt{x-3}}",[],{"_138":185},[140],{"_8":187,"_48":49,"_50":188,"_12":189,"_10":190,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":191,"_95":204,"_97":42,"_135":42,"_136":205,"_70":208},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 ",[192,195,198,201],{"_8":193,"_50":194},198070,"\\ltr{f(x) = 3 \\sqrt{x-2}+3}",{"_8":196,"_50":197},198071,"\\ltr{f(x) = 3 \\sqrt{x+3}-2}",{"_8":199,"_50":200},198072,"\\ltr{f(x) = 3 \\sqrt{x+2}-3}",{"_8":202,"_50":203},198073,"\\ltr{f(x) = 3 \\sqrt{x-3}+2}",[],{"_138":206},[140,207],1549,"أي الدوال التالية ممثلة في الشكل؟ $\"\"$ ",{"_8":210,"_48":49,"_50":211,"_12":212,"_10":213,"_56":214,"_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":231},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,[216,219,222,225],{"_8":217,"_50":218},197986,"\\ltr{x^2 + 6}",{"_8":220,"_50":221},197987,"\\ltr{x^2 + x + 6}",{"_8":223,"_50":224},197988,"\\ltr{x^2 - 9}",{"_8":226,"_50":227},197989,"\\ltr{x^3 + 3}",[],{"_138":230},[140],"إذا كان $\"\"/$ ، $\"\"/$ ، فأوجد $\"\"/$ :",{"_8":233,"_48":49,"_50":234,"_12":235,"_10":236,"_56":237,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":238,"_95":251,"_97":42,"_135":42,"_136":252,"_70":255},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,[239,242,245,248],{"_8":240,"_50":241},197510,"ازاحة رأسية للأعلى",{"_8":243,"_50":244},197511,"ازاحة أفقية لليمين",{"_8":246,"_50":247},197512,"ازاحة رأسية للأسفل",{"_8":249,"_50":250},197513,"ازاحة أفقية لليسار",[],{"_138":253},[140,254],1556,"للدالة $\"\"/$ ",{"_8":257,"_48":49,"_50":145,"_12":258,"_10":259,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":260,"_95":273,"_97":42,"_135":42,"_136":274,"_70":164},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 ",[261,264,267,270],{"_8":262,"_50":263},197418,"\\ltr{f^{-1}(x) = (x+4)^{\\frac{1}{3}}}",{"_8":265,"_50":266},197419,"\\ltr{f^{-1}(x) = (x-4)^{\\frac{1}{3}}}",{"_8":268,"_50":269},197420,"\\ltr{f^{-1}(x) = (x+4)^{\\frac{2}{3}}}",{"_8":271,"_50":272},197421,"\\ltr{f^{-1}(x) = (x-4)^{\\frac{2}{3}}}",[],{"_138":275},[140],{"_8":277,"_48":49,"_50":167,"_12":278,"_10":169,"_56":57,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":279,"_95":288,"_97":42,"_135":42,"_136":289,"_70":167},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",[280,282,284,286],{"_8":281,"_50":173},197242,{"_8":283,"_50":176},197243,{"_8":285,"_50":179},197244,{"_8":287,"_50":182},197245,[],{"_138":290},[140],{"_8":292,"_48":49,"_50":293,"_12":294,"_10":295,"_56":296,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":297,"_95":310,"_97":42,"_135":42,"_136":311,"_70":313},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,[298,301,304,307],{"_8":299,"_50":300},196000,"1",{"_8":302,"_50":303},196001,"2",{"_8":305,"_50":306},196002,"3",{"_8":308,"_50":309},196003,"4",[],{"_138":312},[140],"إذا كان $\"\"/$ , $\"\"/$ ، فما قيمة $\"\"/$ ؟",{"_8":315,"_48":49,"_50":316,"_12":317,"_10":318,"_56":296,"_120":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":319,"_95":328,"_97":42,"_135":42,"_136":329,"_70":331},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 ",[320,322,324,326],{"_8":321,"_50":218},195688,{"_8":323,"_50":221},195689,{"_8":325,"_50":224},195690,{"_8":327,"_50":227},195691,[],{"_138":330},[140],"إذا كان $\"\"/$ ، $\"\"/$ ، فأوجد: $\"\"/$ ","detailedAnswer",[334,339,341,343],{"_8":68,"_50":69,"_335":19,"_336":337,"_338":-5},"is_correct","question_option_details",[],"has_access",{"_8":73,"_50":74,"_335":42,"_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"]

إذا كانت ، فإن تكون دالة عكسية لـ عندما ..

إذا كانت $\ltr{g(x) = \frac{1}{f(x)}}$ ، فإن $\ltr{f(x)}$ تكون دالة عكسية لـ $\ltr{g(x)}$ عندما ..