[{"_1":2,"_362":-5,"_363":-5},"loaderData",{"_3":4,"_43":44,"_361":-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,"_342":343,"_355":356,"_357":42,"_358":47,"_359":360},"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},54637,"type","MULTIPLE_CHOICE","text","الدالة العكسية للدالة \\ltr{f(x) = \\sqrt{x} + 3} هي: \\ltr{f^{-1}(x)} تساوي:","الدالة العكسية للدالة f(x) = √(x) + 3 هي: f^-1(x) تساوي: A)f^-1(x) = x^3 + 3, x ≤0 B)f^-1(x) = x^2 - 3, x ≤0 C)f^-1(x) = x^2 + 3, x ≤0 D)f^-1(x) = x^2 - 3, x ≥0 ","54637-الدالة-العكسية-للدالة-+-3}-هي-(x)}-تساوي-(x)-=-x^2-3,,-x-0}-(x)-=-x^2-+-3,,-x-0}-(x)-=-x^2-3,,-x-0}-(x)-=-x^3-+-3,,-x-0","order",83,"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},211054,"\\ltr{f^{-1}(x) = x^3 + 3,\\, x \\leq 0}","renderedText"," $\"\"/$ ",{"_8":73,"_50":74,"_70":75},211055,"\\ltr{f^{-1}(x) = x^2 - 3,\\, x \\leq 0}"," $\"\"/$ ",{"_8":77,"_50":78,"_70":79},211056,"\\ltr{f^{-1}(x) = x^2 + 3,\\, x \\leq 0}"," $\"\"/$ ",{"_8":81,"_50":82,"_70":83},211057,"\\ltr{f^{-1}(x) = x^2 - 3,\\, x \\geq 0}"," $\"\"/$ ","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},54630,"مجال الدالة \\ltr{f(x) = \\sqrt{x+2}} يساوي:","54630-مجال-الدالة-}-يساوي","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},54639,"أي الدوال التالية هي العكسية للدالة \\ltr{f(x)=\\frac{2+x}{3}} ؟","54639-أي-الدوال-التالية-هي-العكسية-للدالة-{3","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",243,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","الدالة العكسية للدالة $\"\"/$ هي: $\"\"/$ تساوي:","encodedPrevQuestionSlug","54630-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7D-%D9%8A%D8%B3%D8%A7%D9%88%D9%8A","encodedNextQuestionSlug","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","relatedQuestions",[115,140,163,185,207,229,252,274,296,320],{"_8":86,"_48":49,"_50":87,"_12":110,"_10":116,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":118,"_95":131,"_97":42,"_132":42,"_133":134,"_70":139},"مجال الدالة f(x) = √(x+2) يساوي: A){x | x ≥2, x ∈ℝ} B){x | x ≥-2, x ∈ℝ} C){x | x ≤2, x ∈ℝ} D){x | x ≤-2, x ∈ℝ} ","unit_name",[119,122,125,128],{"_8":120,"_50":121},211026,"\\ltr{\\{x | x \\geq 2, x \\in \\mathbb{R}\\}}",{"_8":123,"_50":124},211027,"\\ltr{\\{x | x \\geq -2, x \\in \\mathbb{R}\\}}",{"_8":126,"_50":127},211028,"\\ltr{\\{x | x \\leq 2, x \\in \\mathbb{R}\\}}",{"_8":129,"_50":130},211029,"\\ltr{\\{x | x \\leq -2, x \\in \\mathbb{R}\\}}",[],"is_all_explanations_deleted","contents_tags_ids",{"_135":136},"ids",[137,138],1542,1549,"مجال الدالة $\"\"/$ يساوي:",{"_8":141,"_48":49,"_50":142,"_12":143,"_10":144,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":145,"_95":158,"_97":42,"_132":42,"_133":159,"_70":162},54628,"إذا كانت \\ltr{f(x) = \\frac{2}{3}x - 4} فإن \\ltr{f^{-1}(x) = }","54628-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%7B3%7Dx-4%7D-%D9%81%D8%A5%D9%86-(x)-=-%7D-%7B2%7Dx-%2B-6%7D-%7B2%7Dx-%2B-8%7D-%7B2%7Dx-%2B-9%7D-%7B2%7Dx-%2B-12","إذا كانت f(x) = 2/3x - 4 فإن f^-1(x) = A)f(x) = 3/2x + 6 B)f(x) = 3/2x + 8 C)f(x) = 3/2x + 9 D)f(x) = 3/2x + 12 ",[146,149,152,155],{"_8":147,"_50":148},211018,"\\ltr{f(x) = \\frac{3}{2}x + 6}",{"_8":150,"_50":151},211019,"\\ltr{f(x) = \\frac{3}{2}x + 8}",{"_8":153,"_50":154},211020,"\\ltr{f(x) = \\frac{3}{2}x + 9}",{"_8":156,"_50":157},211021,"\\ltr{f(x) = \\frac{3}{2}x + 12}",[],{"_135":160},[161],1548,"إذا كانت $\"\"/$ فإن $\"\"/$ ",{"_8":164,"_48":49,"_50":165,"_12":166,"_10":167,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":168,"_95":181,"_97":42,"_132":42,"_133":182,"_70":184},54627,"أوجد الدالة العكسية للدالة \\ltr{f(x) = \\frac{4x-2}{5}}","54627-%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-%7B5%7D%7D-%7B2%7D%7D-%7B4x-2%7D%7D-%7B4%7D%7D-%7B5","أوجد الدالة العكسية للدالة f(x) = 4x-2/5 A)f(x) = 5/4x-2 B)f(x) = 4x+5/2 C)f(x) = 2x-4/5 D)f(x) = 5x+2/4 ",[169,172,175,178],{"_8":170,"_50":171},211014,"\\ltr{f(x) = \\frac{5}{4x-2}}",{"_8":173,"_50":174},211015,"\\ltr{f(x) = \\frac{4x+5}{2}}",{"_8":176,"_50":177},211016,"\\ltr{f(x) = \\frac{2x-4}{5}}",{"_8":179,"_50":180},211017,"\\ltr{f(x) = \\frac{5x+2}{4}}",[],{"_135":183},[161],"أوجد الدالة العكسية للدالة $\"\"/$ ",{"_8":186,"_48":49,"_50":187,"_12":188,"_10":189,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":190,"_95":203,"_97":42,"_132":42,"_133":204,"_70":206},54606,"أوجد مجال الدالة \\ltr{\\frac{x-7}{\\sqrt{1-x}}}","54606-%D8%A3%D9%88%D8%AC%D8%AF-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9","أوجد مجال الدالة x-7/√(1-x) A)x > 7 B)x < 1 C)x ≥7 D)x > 1 ",[191,194,197,200],{"_8":192,"_50":193},210930,"\\ltr{x > 7}",{"_8":195,"_50":196},210931,"\\ltr{x < 1}",{"_8":198,"_50":199},210932,"\\ltr{x \\geq 7}",{"_8":201,"_50":202},210933,"\\ltr{x > 1}",[],{"_135":205},[137,138],"أوجد مجال الدالة $\"\"/$ ",{"_8":208,"_48":49,"_50":209,"_12":210,"_10":211,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":212,"_95":225,"_97":42,"_132":42,"_133":226,"_70":228},54553,"إذا كان \\ltr{g(x) = x^2 + 5} و \\ltr{f(x) = x-1} فإن \\ltr{(f \\circ g)(2)} = ؟","54553-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%88-%D9%81%D8%A5%D9%86","إذا كان g(x) = x^2 + 5 و f(x) = x-1 فإن (f ∘g)(2) = ؟ A)8 B)1 C)2 D)9 ",[213,216,219,222],{"_8":214,"_50":215},210718,"\\ltr{8}",{"_8":217,"_50":218},210719,"\\ltr{1}",{"_8":220,"_50":221},210720,"\\ltr{2}",{"_8":223,"_50":224},210721,"\\ltr{9}",[],{"_135":227},[161],"إذا كان $\"\"/$ و $\"\"/$ فإن $\"\"/$ = ؟",{"_8":230,"_48":49,"_50":231,"_12":232,"_10":233,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":42,"_64":-5,"_65":234,"_95":247,"_97":42,"_132":42,"_133":248,"_70":251},54539,"إذا كان \\ltr{g(x) = \\sqrt{x} + 2} و \\ltr{f(x) = \\frac{1}{x-5}} فإن مجال \\ltr{(f \\circ g)(x) =}","54539-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%2B-2%7D-%D9%88-%7Bx-5%7D%7D-%D9%81%D8%A5%D9%86-%D9%85%D8%AC%D8%A7%D9%84-%7D-5%7D-%7D-5","إذا كان g(x) = √(x) + 2 و f(x) = 1/x-5 فإن مجال (f ∘g)(x) = A){x | x ≥-2 , x ≠5} B){x | x ≥-2 , x ≠23} C)ℝ - {5} D)ℝ - {-5} ",[235,238,241,244],{"_8":236,"_50":237},210662,"\\ltr{\\{x | x \\geq -2 , x \\neq 5\\}}",{"_8":239,"_50":240},210663,"\\ltr{\\{x | x \\geq -2 , x \\neq 23\\}}",{"_8":242,"_50":243},210664,"\\ltr{\\mathbb{R} - \\{5\\}}",{"_8":245,"_50":246},210665,"\\ltr{\\mathbb{R} - \\{-5\\}}",[],{"_135":249},[161,138,250],1550,"إذا كان $\"\"/$ و $\"\"/$ فإن مجال $\"\"/$ ",{"_8":253,"_48":49,"_50":254,"_12":255,"_10":256,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":42,"_64":-5,"_65":257,"_95":270,"_97":42,"_132":42,"_133":271,"_70":273},54526,"التمثيل البياني للدالة \\ltr{f(x) = |\\sqrt{x + 1}|} هو:","54526-%D8%A7%D9%84%D8%AA%D9%85%D8%AB%D9%8A%D9%84-%D8%A7%D9%84%D8%A8%D9%8A%D8%A7%D9%86%D9%8A-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7C%7D-%D9%87%D9%88","التمثيل البياني للدالة f(x) = |√(x + 1)| هو: A) B) C) D) ",[258,261,264,267],{"_8":259,"_50":260},210610,"11f08735_5c04_2fb4_84a4_5fd490b842e8_00",{"_8":262,"_50":263},210611,"11f08735_698e_d4a5_84a4_2d1ef7814d7c_00",{"_8":265,"_50":266},210612,"11f08735_7bdd_6a46_84a4_93e96fe58973_00",{"_8":268,"_50":269},210613,"11f08735_ab4c_0de9_84a4_97910d48b671_00",[],{"_135":272},[138],"التمثيل البياني للدالة $\"\"/$ هو:",{"_8":275,"_48":49,"_50":276,"_12":277,"_10":278,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":279,"_95":292,"_97":42,"_132":42,"_133":293,"_70":295},54507,"إذا كانت \\ltr{f(x)=\\frac{3}{x^2+5}} و \\ltr{g(x)=\\sqrt{x+10}} فما قيمة \\ltr{(fog)(3)}؟","54507-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%7Bx%5E2%2B5%7D%7D-%D9%88-%7D-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%7B6%7D%7D-%7B14%7D%7D%7D-%2B3%7D%7B14%7D%7D-%7B6","إذا كانت f(x)=3/x^2+5 و g(x)=√(x+10) فما قيمة (fog)(3)؟ A)√(143/14) B)14√(3)+3/14 C)5/6 D)1/6 ",[280,283,286,289],{"_8":281,"_50":282},210534,"\\ltr{\\sqrt{\\frac{143}{14}}}",{"_8":284,"_50":285},210535,"\\ltr{\\frac{14\\sqrt{3}+3}{14}}",{"_8":287,"_50":288},210536,"\\ltr{\\frac{5}{6}}",{"_8":290,"_50":291},210537,"\\ltr{\\frac{1}{6}}",[],{"_135":294},[161],"إذا كانت $\"\"/$ و $\"\"/$ فما قيمة $\"\"/$ ؟",{"_8":297,"_48":49,"_50":298,"_12":299,"_10":300,"_56":301,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":302,"_95":315,"_97":42,"_132":42,"_133":316,"_70":319},54493,"في الشكل التالي ( f( x هي الدالة الأم للدالة ( g( x ، إذا كانت \\ltr{f(x) = x^2} فإن ( g(x تساوي: \n11f0872e_c568_2edc_84a4_5d9312b44655_00","54493-%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-(-f(-x-%D9%87%D9%8A-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D8%A7%D9%84%D8%A3%D9%85-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-(-g(-x-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%D9%81%D8%A5%D9%86-(-g(x-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A","في الشكل التالي ( f( x هي الدالة الأم للدالة ( g( x ، إذا كانت f(x) = x^2 فإن ( g(x تساوي: A)x^2 + 2 B)x^2 - 2 C)(x + 2)^2 - 2 D)(x - 2)^2 + 2 ",49,[303,306,309,312],{"_8":304,"_50":305},210478,"\\ltr{x^2 + 2}",{"_8":307,"_50":308},210479,"\\ltr{x^2 - 2}",{"_8":310,"_50":311},210480,"\\ltr{(x + 2)^2 - 2}",{"_8":313,"_50":314},210481,"\\ltr{(x - 2)^2 + 2}",[],{"_135":317},[161,318],1555,"في الشكل التالي ( f( x هي الدالة الأم للدالة ( g( x ، إذا كانت $\"\"/$ فإن ( g(x تساوي: $\"\"$ ",{"_8":321,"_48":49,"_50":322,"_12":323,"_10":324,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":325,"_95":338,"_97":42,"_132":42,"_133":339,"_70":341},54484,"أي الدوال التالية ممثلة بالشكل التالي:\n11f0872c_d3cb_927b_84a4_afef4228cd21_00","54484-%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-%2B-3%7D-%2B-2%7D-2%7D-3","أي الدوال التالية ممثلة بالشكل التالي: A)f(x) = 3√(x-2) + 3 B)f(x) = 3√(x+2) - 3 C)f(x) = 3√(x+3) - 2 D)f(x) = 3√(x-3) + 2 ",[326,329,332,335],{"_8":327,"_50":328},210442,"\\ltr{f(x) = 3\\sqrt{x-2} + 3}",{"_8":330,"_50":331},210443,"\\ltr{f(x) = 3\\sqrt{x+2} - 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الدالة العكسية للدالة هي: تساوي:

الدالة العكسية للدالة $\ltr{f(x) = \sqrt{x} + 3}$ هي: $\ltr{f^{-1}(x)}$ تساوي: