[{"_1":2,"_361":-5,"_362":-5},"loaderData",{"_3":4,"_39":40,"_360":-5},"root",{"_5":6,"_35":36,"_37":38},"allTopics",[7],{"_8":9,"_10":11,"_12":13,"_14":15,"_16":17,"_33":34},"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},"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","topic_streams",[],"whiteLabelData",{},"isWhitelabeled",false,"routes/_visitor.question.$slug",{"_41":42,"_110":111,"_341":342,"_354":355,"_356":38,"_357":43,"_358":359},"loaderQuestion",{"_8":43,"_44":45,"_46":47,"_10":48,"_12":49,"_50":51,"_52":53,"_54":55,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":63,"_81":82,"_87":88,"_92":93,"_94":38,"_95":-5,"_96":97,"_98":99,"_100":101,"_102":103,"_104":19,"_67":105,"_106":107,"_108":109},71854,"type","MULTIPLE_CHOICE","text","إذا كان :\\ltr{h\\;(\\;x\\;)\\;=-\\;7\\;x\\;^2\\;-\\;2\\;و\\;g\\;(\\;x\\;)\\;=\\;3\\;x\\;و\\;f\\;(\\;x\\;)\\;=\\;x\\;^2\\;-\\;1} ، فأي التالي صحيح؟","إذا كان :h ( x ) =- 7 x ^2 - 2 و g ( x ) = 3 x و f ( x ) = x ^2 - 1 ، فأي التالي صحيح؟ A)h(x) = 3f(x) + g(x) B)h(x) = 3f(x) - 2g(x) C)h(x) = 2f(x) - (g(x))^2 D)h(x) = 3f(x) - g(x) ","71854-إذا-كان-فأي-التالي-صحيح","order",142,"unit_id",50,"topic_id",3,"comparison_value1","","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[64,69,73,77],{"_8":65,"_46":66,"_67":68},268141,"\\ltr{h(x) = 3f(x) + g(x)}","renderedText"," $\"\"/$ ",{"_8":70,"_46":71,"_67":72},268142,"\\ltr{h(x) = 3f(x) - 2g(x)}"," $\"\"/$ ",{"_8":74,"_46":75,"_67":76},268143,"\\ltr{h(x) = 2f(x) - (g(x))^{2}}"," $\"\"/$ ",{"_8":78,"_46":79,"_67":80},268144,"\\ltr{h(x) = 3f(x) - g(x)}"," $\"\"/$ ","previous_question",{"_8":83,"_44":45,"_46":84,"_12":85,"_10":-5,"_56":57,"_58":57,"_59":-5,"_60":-5,"_52":-5,"_86":-5,"_54":-5,"_61":-5},71849,"الدالة العكسية ل \\ltr{f(x) = 3x + 1} :","71849-الدالة-العكسية-ل-=-{3}}-=-{3}}-=-3x-1}-=-3x+1","section_id","next_question",{"_8":89,"_44":45,"_46":90,"_12":91,"_10":-5,"_56":57,"_58":57,"_59":-5,"_60":-5,"_52":-5,"_86":-5,"_54":-5,"_61":-5},71871,"إذا كانت الدالة\\ltr{f\\;(\\;x\\;)\\;=\\;(\\;x\\;-\\;4\\;)\\;^3} ، فما هي الدالة العكسية لها؟","71871-إذا-كانت-الدالة-فما-هي-الدالة-العكسية-لها-(x)-=-}-(x)-=-}-(x)=x+4}-(x)=x-4","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",238,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","إذا كان : $\"\"/$ ، فأي التالي صحيح؟","encodedPrevQuestionSlug","71849-%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-%3D-%7B3%7D%7D-%3D-%7B3%7D%7D-%3D-3x-1%7D-%3D-3x%2B1","encodedNextQuestionSlug","71871-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D9%81%D9%85%D8%A7-%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%87%D8%A7-(x)-%3D-%7D-(x)-%3D-%7D-(x)%3Dx%2B4%7D-(x)%3Dx-4","relatedQuestions",[112,138,160,182,204,226,248,271,294,318],{"_8":83,"_44":45,"_46":84,"_12":113,"_10":114,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":116,"_92":129,"_94":38,"_130":38,"_131":132,"_67":137},"71849-%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-=-%7B3%7D%7D-=-%7B3%7D%7D-=-3x-1%7D-=-3x%2B1","الدالة العكسية ل f(x) = 3x + 1 : A)f^-1 = x-1/3 B)f^-1 = x+1/3 C)f^-1 = 3x-1 D)f^-1 = 3x+1 ","unit_name",[117,120,123,126],{"_8":118,"_46":119},268121,"\\ltr{f^{-1} = \\frac{x-1}{3}}",{"_8":121,"_46":122},268122,"\\ltr{f^{-1} = \\frac{x+1}{3}}",{"_8":124,"_46":125},268123,"\\ltr{f^{-1} = 3x-1}",{"_8":127,"_46":128},268124,"\\ltr{f^{-1} = 3x+1}",[],"is_all_explanations_deleted","contents_tags_ids",{"_133":134},"ids",[135,136],1542,1548,"الدالة العكسية ل $\"\"/$ :",{"_8":139,"_44":45,"_46":140,"_12":141,"_10":142,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":143,"_92":156,"_94":38,"_130":38,"_131":157,"_67":159},71847,"إذا كان \\ltr{g(x)=2k} و \\ltr{f(x)=x^2+2x} فاو́جد \\ltr{(f \\circ g)} .","71847-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%88-%D9%81%D8%A7%D9%88%CC%81%D8%AC%D8%AF","إذا كان g(x)=2k و f(x)=x^2+2x فاو́جد (f ∘g) . A)k^2+2 B)4k^2+4k C)x^4+x D)k^5 ",[144,147,150,153],{"_8":145,"_46":146},268113,"\\ltr{k^2+2}",{"_8":148,"_46":149},268114,"\\ltr{4k^2+4k}",{"_8":151,"_46":152},268115,"\\ltr{x^4+x}",{"_8":154,"_46":155},268116,"\\ltr{k^5}",[],{"_133":158},[136],"إذا كان $\"\"/$ و $\"\"/$ فاو́جد $\"\"/$ .",{"_8":161,"_44":45,"_46":162,"_12":163,"_10":164,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":165,"_92":178,"_94":38,"_130":38,"_131":179,"_67":181},71845,"أوجد الدالة العكسية للدالة: \\ltr{f(x) = x^2 + 3}","71845-%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-%2C%2C-x3%7D-%2C%2C-x3","أوجد الدالة العكسية للدالة: f(x) = x^2 + 3 A)f(x)=√(x-3), x≥3 B)f(x)=√(x+3), x≥3 C)f(x)=x^2 - 3, x≥3 D)f(x)=-x^2-3, x≥3 ",[166,169,172,175],{"_8":167,"_46":168},268105,"\\ltr{f(x)=\\sqrt{x-3},\\, x\\geq3}",{"_8":170,"_46":171},268106,"\\ltr{f(x)=\\sqrt{x+3},\\, x\\geq3}",{"_8":173,"_46":174},268107,"\\ltr{f(x)=x^2 - 3,\\, x\\geq3}",{"_8":176,"_46":177},268108,"\\ltr{f(x)=-x^2-3,\\, x\\geq3}",[],{"_133":180},[136],"أوجد الدالة العكسية للدالة: $\"\"/$ ",{"_8":183,"_44":45,"_46":184,"_12":185,"_10":186,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":187,"_92":200,"_94":38,"_130":38,"_131":201,"_67":203},71842,"إذا كانت \\ltr{f\\;,\\;\\;g} دالتين حقيقيتين، وكانت \\ltr{f\\;(\\;x\\;)\\;=\\;2\\;x\\;-\\;5} و \\ltr{g\\;(\\;x\\;)\\;=\\;x\\;^2\\;+1} فإن \\ltr{\\left[f\\;\\circ\\;g\\right]\\;(\\;x)} يساوي ..","71842-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D8%AF%D8%A7%D9%84%D8%AA%D9%8A%D9%86-%D8%AD%D9%82%D9%8A%D9%82%D9%8A%D8%AA%D9%8A%D9%86-%D9%88%D9%83%D8%A7%D9%86%D8%AA-%D9%88-%D9%81%D8%A5%D9%86-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","إذا كانت f , g دالتين حقيقيتين، وكانت f ( x ) = 2 x - 5 و g ( x ) = x ^2 +1 فإن [f ∘ g] ( x) يساوي .. A)2x^2 - 3 B)2x^2 + 7 C)4x^2 - 24 D)4x^2 - 20x + 26 ",[188,191,194,197],{"_8":189,"_46":190},268093,"\\ltr{2x^2 - 3}",{"_8":192,"_46":193},268094,"\\ltr{2x^2 + 7}",{"_8":195,"_46":196},268095,"\\ltr{4x^2 - 24}",{"_8":198,"_46":199},268096,"\\ltr{4x^2 - 20x + 26}",[],{"_133":202},[136],"إذا كانت $\"\"/$ دالتين حقيقيتين، وكانت $\"\"/$ و $\"\"/$ فإن $\"\"/$ يساوي ..",{"_8":205,"_44":45,"_46":206,"_12":207,"_10":208,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":209,"_92":222,"_94":38,"_130":38,"_131":223,"_67":225},71840,"إذا كانت \\ltr{g(x)} و \\ltr{f(x)} دالتين معرفتين بالجدولين فاؤجد تركيب الدالتين \\ltr{\\left[f\\;\\circ\\;g\\right]\\;(-4)} .\n11f14876_6048_55f3_831c_175dc55098e9_00","71840-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D9%88-%D8%AF%D8%A7%D9%84%D8%AA%D9%8A%D9%86-%D9%85%D8%B9%D8%B1%D9%81%D8%AA%D9%8A%D9%86-%D8%A8%D8%A7%D9%84%D8%AC%D8%AF%D9%88%D9%84%D9%8A%D9%86-%D9%81%D8%A7%D9%88%D9%94%D8%AC%D8%AF-%D8%AA%D8%B1%D9%83%D9%8A%D8%A8-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%AA%D9%8A%D9%86-0-1-2-3","إذا كانت g(x) و f(x) دالتين معرفتين بالجدولين فاؤجد تركيب الدالتين [f ∘ g] (-4) . A)0 B)1 C)2 D)3 ",[210,213,216,219],{"_8":211,"_46":212},268085,"0",{"_8":214,"_46":215},268086,"1",{"_8":217,"_46":218},268087,"2",{"_8":220,"_46":221},268088,"3",[],{"_133":224},[136],"إذا كانت $\"\"/$ و $\"\"/$ دالتين معرفتين بالجدولين فاؤجد تركيب الدالتين $\"\"/$ . $\"\"$ ",{"_8":227,"_44":45,"_46":228,"_12":229,"_10":230,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":38,"_61":-5,"_62":231,"_92":244,"_94":38,"_130":38,"_131":245,"_67":247},71830,"إذا كانت \\ltr{f(x) = x - 2} فإن \\ltr{f^{-1}(x)} تساوي ..","71830-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D9%81%D8%A5%D9%86-(x)%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7Bx%7D-%2B-2%7D-%7Bx%7D-2","إذا كانت f(x) = x - 2 فإن f^-1(x) تساوي .. A)2 - x B)1/x + 2 C)x + 2 D)1/x - 2 ",[232,235,238,241],{"_8":233,"_46":234},268045,"\\ltr{2\\;-\\;x}",{"_8":236,"_46":237},268046,"\\ltr{\\frac{1}{x} + 2}",{"_8":239,"_46":240},268047,"\\ltr{x\\;+\\;2}",{"_8":242,"_46":243},268048,"\\ltr{\\frac{1}{x} - 2}",[],{"_133":246},[135,136],"إذا كانت $\"\"/$ فإن $\"\"/$ تساوي ..",{"_8":249,"_44":45,"_46":250,"_12":251,"_10":252,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":38,"_61":-5,"_62":253,"_92":266,"_94":38,"_130":38,"_131":267,"_67":270},68676,"الدالة العكسية للدالة \\ltr{f(x) = 4^x} هي:","68676-%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-%D9%87%D9%8A","الدالة العكسية للدالة f(x) = 4^x هي: A) B) C) D) ",[254,257,260,263],{"_8":255,"_46":256},256419,"11f13bcb_d4c1_b40c_9913_0d34db5df910_00",{"_8":258,"_46":259},256420,"11f13bcb_f0d5_d04d_9913_29789573740d_00",{"_8":261,"_46":262},256421,"11f13bcc_1e51_7d8e_9913_6934c85187fd_00",{"_8":264,"_46":265},256422,"11f13bcc_3af9_ea8f_9913_e1b52edca0eb_00",[],{"_133":268},[136,269],1556,"الدالة العكسية للدالة $\"\"/$ هي:",{"_8":272,"_44":45,"_46":273,"_12":274,"_10":275,"_52":276,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":277,"_92":290,"_94":38,"_130":38,"_131":291,"_67":293},68668,"إذا كانت الدالة \\ltr{g(x)=8^{x+5}}، \\ltr{f(x)=log_{2}x}، فأوجد \\ltr{[f \\circ g](x) }؟","68668-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7D-x%7D-%D9%81%D8%A3%D9%88%D8%AC%D8%AF","إذا كانت الدالة g(x)=8^x+5، f(x)=log_2x، فأوجد [f ∘g](x) ؟ A)x+5 B)2x+10 C)3x+15 D)8x+40 ",55,[278,281,284,287],{"_8":279,"_46":280},256387,"\\ltr{x+5}",{"_8":282,"_46":283},256388,"\\ltr{2x+10}",{"_8":285,"_46":286},256389,"\\ltr{3x+15}",{"_8":288,"_46":289},256390,"\\ltr{8x+40}",[],{"_133":292},[136,269],"إذا كانت الدالة $\"\"/$ ، $\"\"/$ ، فأوجد $\"\"/$ ؟",{"_8":295,"_44":45,"_46":296,"_12":297,"_10":298,"_52":299,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":300,"_92":313,"_94":38,"_130":38,"_131":314,"_67":317},68617,"ما مقدار إزاحة الدالة \\ltr{f(x)=\\frac{1}{x+4}} ؟","68617-%D9%85%D8%A7-%D9%85%D9%82%D8%AF%D8%A7%D8%B1-%D8%A5%D8%B2%D8%A7%D8%AD%D8%A9-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7Bx%2B4%7D%7D-4-%D9%88%D8%AD%D8%AF%D8%A7%D8%AA-%D9%84%D9%84%D9%8A%D9%85%D9%8A%D9%86-4-%D9%88%D8%AD%D8%AF%D8%A7%D8%AA-%D9%84%D9%84%D9%8A%D8%B3%D8%A7%D8%B1-4-%D9%88%D8%AD%D8%AF%D8%A7%D8%AA-%D9%84%D8%A3%D8%B9%D9%84%D9%89-4-%D9%88%D8%AD%D8%AF%D8%A7%D8%AA-%D9%84%D8%A3%D8%B3%D9%81%D9%84","ما مقدار إزاحة الدالة f(x)=1/x+4 ؟ A)4 وحدات لليمين B)4 وحدات لليسار C)4 وحدات لأعلى D)4 وحدات لأسفل ",48,[301,304,307,310],{"_8":302,"_46":303},256249,"4 وحدات لليمين",{"_8":305,"_46":306},256250,"4 وحدات لليسار",{"_8":308,"_46":309},256251,"4 وحدات لأعلى",{"_8":311,"_46":312},256252,"4 وحدات لأسفل",[],{"_133":315},[316,136],1540,"ما مقدار إزاحة الدالة $\"\"/$ ؟",{"_8":319,"_44":45,"_46":320,"_12":321,"_10":322,"_52":53,"_115":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":323,"_92":336,"_94":38,"_130":38,"_131":337,"_67":340},68411,"ما الدالة العكسية \\ltr{f^{-1}} للدالة \\ltr{f(x) = \\sqrt{x+2}} ؟","68411-%D9%85%D8%A7-%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-%7D-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7D-(x)-=-x%5E3-%2B-2%3B-x-0%7D-(x)-=-x%5E2-%2B-2%3B-x-0%7D-(x)-=-x%5E2-2%3B-x-0%7D-(x)-=-x%5E2-2%3B-x-0","ما الدالة العكسية f^-1 للدالة f(x) = √(x+2) ؟ A)f^-1(x) = x^3 + 2; x ≤0 B)f^-1(x) = x^2 + 2; x ≥0 C)f^-1(x) = x^2 - 2; x ≤0 D)f^-1(x) = x^2 - 2; x ≥0 ",[324,327,330,333],{"_8":325,"_46":326},255491,"\\ltr{f^{-1}(x) = x^3 + 2;\\ x \\leq 0}",{"_8":328,"_46":329},255492,"\\ltr{f^{-1}(x) = x^2 + 2;\\ x \\geq 0}",{"_8":331,"_46":332},255493,"\\ltr{f^{-1}(x) = x^2 - 2;\\ x \\leq 0}",{"_8":334,"_46":335},255494,"\\ltr{f^{-1}(x) = x^2 - 2;\\ x \\geq 0}",[],{"_133":338},[136,339],1549,"ما الدالة العكسية $\"\"/$ للدالة $\"\"/$ ؟","detailedAnswer",[343,348,350,352],{"_8":65,"_46":66,"_344":38,"_345":346,"_347":-5},"is_correct","question_option_details",[],"has_access",{"_8":70,"_46":71,"_344":38,"_345":349,"_347":-5},[],{"_8":74,"_46":75,"_344":19,"_345":351,"_347":-5},[],{"_8":78,"_46":79,"_344":38,"_345":353,"_347":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

إذا كان : ، فأي التالي صحيح؟

إذا كان : $\ltr{h\;(\;x\;)\;=-\;7\;x\;^2\;-\;2\;و\;g\;(\;x\;)\;=\;3\;x\;و\;f\;(\;x\;)\;=\;x\;^2\;-\;1}$ ، فأي التالي صحيح؟