[{"_1":2,"_354":-5,"_355":-5},"loaderData",{"_3":4,"_39":40,"_353":-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,"_334":335,"_347":348,"_349":38,"_350":43,"_351":352},"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},68411,"type","MULTIPLE_CHOICE","text","ما الدالة العكسية \\ltr{f^{-1}} للدالة \\ltr{f(x) = \\sqrt{x+2}} ؟","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 ","68411-ما-الدالة-العكسية-}-للدالة-}-(x)-=-x^3-+-2;-x-0}-(x)-=-x^2-+-2;-x-0}-(x)-=-x^2-2;-x-0}-(x)-=-x^2-2;-x-0","order",134,"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},255491,"\\ltr{f^{-1}(x) = x^3 + 2;\\ x \\leq 0}","renderedText"," $\"\"/$ ",{"_8":70,"_46":71,"_67":72},255492,"\\ltr{f^{-1}(x) = x^2 + 2;\\ x \\geq 0}"," $\"\"/$ ",{"_8":74,"_46":75,"_67":76},255493,"\\ltr{f^{-1}(x) = x^2 - 2;\\ x \\leq 0}"," $\"\"/$ ",{"_8":78,"_46":79,"_67":80},255494,"\\ltr{f^{-1}(x) = x^2 - 2;\\ x \\geq 0}"," $\"\"/$ ","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},57022,"مجال الدالة \\ltr{f(x) = \\frac{2x - 1}{\\sqrt{x^2 - 3x - 4}}}","57022-مجال-الدالة","section_id","next_question",{"_8":89,"_44":45,"_46":90,"_12":91,"_10":-5,"_56":-5,"_58":-5,"_59":-5,"_60":-5,"_52":-5,"_86":-5,"_54":-5,"_61":-5},68676,"الدالة العكسية للدالة \\ltr{f(x) = 4^x} هي:","68676-الدالة-العكسية-للدالة-هي","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",238,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","ما الدالة العكسية $\"\"/$ للدالة $\"\"/$ ؟","encodedPrevQuestionSlug","57022-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9","encodedNextQuestionSlug","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","relatedQuestions",[112,140,164,186,206,225,247,268,290,312],{"_8":113,"_44":45,"_46":114,"_12":115,"_10":116,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":119,"_92":132,"_94":38,"_133":38,"_134":135,"_67":139},68410,"في الشكل، إذا كانت الدالة \\ltr{f(x) = x^2} هي الدالة الأم للدالة \\ltr{g(x)} ، فإن معادلة \\ltr{g(x)} هي ...\n11f138d1_a292_401f_94ff_a35f7d88c112_00","68410-%D9%81%D9%8A-%D8%A7%D9%84%D8%B4%D9%83%D9%84-%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%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-%D9%81%D8%A5%D9%86-%D9%85%D8%B9%D8%A7%D8%AF%D9%84%D8%A9-%D9%87%D9%8A","في الشكل، إذا كانت الدالة f(x) = x^2 هي الدالة الأم للدالة g(x) ، فإن معادلة g(x) هي ... A)- (x+1)^2 + 2 B)(x+1)^2 + 2 C)- (x+2)^2 + 1 D)(x+2)^2 - 1 ",48,"unit_name",[120,123,126,129],{"_8":121,"_46":122},255487,"\\ltr{- (x+1)^2 + 2}",{"_8":124,"_46":125},255488,"\\ltr{(x+1)^2 + 2}",{"_8":127,"_46":128},255489,"\\ltr{- (x+2)^2 + 1}",{"_8":130,"_46":131},255490,"\\ltr{(x+2)^2 - 1}",[],"is_all_explanations_deleted","contents_tags_ids",{"_136":137},"ids",[138],1548,"في الشكل، إذا كانت الدالة $\"\"/$ هي الدالة الأم للدالة $\"\"/$ ، فإن معادلة $\"\"/$ هي ... $\"\"$ ",{"_8":141,"_44":45,"_46":142,"_12":143,"_10":144,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":145,"_92":158,"_94":38,"_133":38,"_134":159,"_67":163},68405,"ما متوسط معدل التغير للدالة \\ltr{f(x)=\\sqrt{x}+2} على الفترة \\ltr{[2,7]} ؟","68405-%D9%85%D8%A7-%D9%85%D8%AA%D9%88%D8%B3%D8%B7-%D9%85%D8%B9%D8%AF%D9%84-%D8%A7%D9%84%D8%AA%D8%BA%D9%8A%D8%B1-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%2B2%7D-%D8%B9%D9%84%D9%89-%D8%A7%D9%84%D9%81%D8%AA%D8%B1%D8%A9-%7B5%7D%7D-%7B7%7D%7D-%7B2","ما متوسط معدل التغير للدالة f(x)=√(x)+2 على الفترة [2,7] ؟ A)1/5 B)2/7 C)7/2 D)5 ",[146,149,152,155],{"_8":147,"_46":148},255467,"\\ltr{\\frac{1}{5}}",{"_8":150,"_46":151},255468,"\\ltr{\\frac{2}{7}}",{"_8":153,"_46":154},255469,"\\ltr{\\frac{7}{2}}",{"_8":156,"_46":157},255470,"\\ltr{5}",[],{"_136":160},[161,162],1549,1555,"ما متوسط معدل التغير للدالة $\"\"/$ على الفترة $\"\"/$ ؟",{"_8":165,"_44":45,"_46":166,"_12":167,"_10":168,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":169,"_92":182,"_94":38,"_133":38,"_134":183,"_67":185},68404,"ما هي الدالة الممثلة في الشكل التالي؟\n11f138cc_ef16_83bc_94ff_6d8fba108bcb_00","68404-%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-%7D-%7D-%7D-5","ما هي الدالة الممثلة في الشكل التالي؟ A)√(x+5) B)√(x-5) C)√(x) D)√(x)-5 ",[170,173,176,179],{"_8":171,"_46":172},255463,"\\ltr{\\sqrt{x+5}}",{"_8":174,"_46":175},255464,"\\ltr{\\sqrt{x-5}}",{"_8":177,"_46":178},255465,"\\ltr{\\sqrt{x}}",{"_8":180,"_46":181},255466,"\\ltr{\\sqrt{x}-5}",[],{"_136":184},[161],"ما هي الدالة الممثلة في الشكل التالي؟ $\"\"$ ",{"_8":83,"_44":45,"_46":84,"_12":107,"_10":187,"_52":53,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":19,"_61":-5,"_62":188,"_92":201,"_94":38,"_133":38,"_134":202,"_67":205},"مجال الدالة f(x) = 2x - 1/√(x^2 - 3x - 4) A)R - {-1, 4} B)(-1, 4) C)(-∞, -1) ∪(4, ∞) D)(-1, ∞) ∪(-∞, -4) ",[189,192,195,198],{"_8":190,"_46":191},219538,"\\ltr{R - \\{-1, 4\\}}",{"_8":193,"_46":194},219539,"\\ltr{(-1, 4)}",{"_8":196,"_46":197},219540,"\\ltr{(-\\infty, -1) \\cup (4, \\infty)}",{"_8":199,"_46":200},219541,"\\ltr{(-1, \\infty) \\cup (-\\infty, -4)}",[],{"_136":203},[161,204],1550,"مجال الدالة $\"\"/$ ",{"_8":207,"_44":45,"_46":208,"_12":209,"_10":210,"_52":53,"_118":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":19,"_61":-5,"_62":211,"_92":220,"_94":38,"_133":38,"_134":221,"_67":224},57003,"مجال الدالة \\ltr{f(x) = \\dfrac{2x-1}{\\sqrt{x^2-3x-4}}}","57003-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9","مجال الدالة f(x) = 2x-1√(x^2-3x-4) A)R - {-1, 4} B)(-1, 4) C)(-∞, -1) ∪(4, ∞) D)(-1, ∞) ∪(-∞, -4) ",[212,214,216,218],{"_8":213,"_46":191},219462,{"_8":215,"_46":194},219463,{"_8":217,"_46":197},219464,{"_8":219,"_46":200},219465,[],{"_136":222},[223,161],1542,"مجال الدالة $\"\"/$ ",{"_8":226,"_44":45,"_46":227,"_12":228,"_10":229,"_52":53,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":19,"_61":-5,"_62":230,"_92":243,"_94":38,"_133":38,"_134":244,"_67":246},56997,"المقدار \\ltr{\\sqrt[4]{16 \\, k^{16} \\, h^{24}}}","56997-%D8%A7%D9%84%D9%85%D9%82%D8%AF%D8%A7%D8%B1-%2C-h%5E%7B24","المقدار √(16 k^16 h^24) A)2 k^4 h^6 B)2 k^8 h^12 C)8 k^8 h^12 D)4 k^4 h^6 ",[231,234,237,240],{"_8":232,"_46":233},219438,"\\ltr{2 \\, k^4 \\, h^6}",{"_8":235,"_46":236},219439,"\\ltr{2 \\, k^8 \\, h^{12}}",{"_8":238,"_46":239},219440,"\\ltr{8 \\, k^8 \\, h^{12}}",{"_8":241,"_46":242},219441,"\\ltr{4 \\, k^4 \\, h^6}",[],{"_136":245},[161],"المقدار $\"\"/$ ",{"_8":248,"_44":45,"_46":249,"_12":250,"_10":251,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":19,"_61":-5,"_62":252,"_92":264,"_94":38,"_133":38,"_134":265,"_67":267},56909,"\\ltr{f(x)} عبارة عن دالة فردية، فأي الدوال التالية فردية؟","56909-%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-%D8%B9%D9%86-%D8%AF%D8%A7%D9%84%D8%A9-%D9%81%D8%B1%D8%AF%D9%8A%D8%A9-%D9%81%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%81%D8%B1%D8%AF%D9%8A%D8%A9","f(x) عبارة عن دالة فردية، فأي الدوال التالية فردية؟ A)|f(x)| B)-|f(x)| C)-f(x) D)|f(x)| ",[253,256,259,262],{"_8":254,"_46":255},219119,"\\ltr{|f(x)|}",{"_8":257,"_46":258},219120,"\\ltr{-|f(x)|}",{"_8":260,"_46":261},219121,"\\ltr{-f(x)}",{"_8":263,"_46":255},219122,[],{"_136":266},[138,162]," $\"\"/$ عبارة عن دالة فردية، فأي الدوال التالية فردية؟",{"_8":269,"_44":45,"_46":270,"_12":271,"_10":272,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":19,"_61":-5,"_62":273,"_92":286,"_94":38,"_133":38,"_134":287,"_67":289},56904,"التغيير الذي حصل للدالة الأم\n11f09948_3724_5c6c_8b7e_21f528f86501_00","56904-%D8%A7%D9%84%D8%AA%D8%BA%D9%8A%D9%8A%D8%B1-%D8%A7%D9%84%D8%B0%D9%8A-%D8%AD%D8%B5%D9%84-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D8%A7%D9%84%D8%A3%D9%85-%D8%A7%D8%B2%D8%A7%D8%AD%D8%A9-%D8%A8%D9%85%D9%82%D8%AF%D8%A7%D8%B1-5-%D9%84%D9%84%D9%8A%D9%85%D9%8A%D9%86-%D8%A7%D8%B2%D8%A7%D8%AD%D8%A9-%D8%A8%D9%85%D9%82%D8%AF%D8%A7%D8%B1-4-%D9%84%D9%84%D9%8A%D8%B3%D8%A7%D8%B1-%D8%A7%D8%B2%D8%A7%D8%AD%D8%A9-%D8%A8%D9%85%D9%82%D8%AF%D8%A7%D8%B1-4-%D9%84%D9%84%D9%8A%D9%85%D9%8A%D9%86-%D8%A7%D8%B2%D8%A7%D8%AD%D8%A9-%D8%A8%D9%85%D9%82%D8%AF%D8%A7%D8%B1-5-%D9%84%D9%84%D8%A3%D8%B9%D9%84%D9%89","التغيير الذي حصل للدالة الأم A)ازاحة بمقدار 5 لليمين B)ازاحة بمقدار 4 لليسار C)ازاحة بمقدار 4 لليمين D)ازاحة بمقدار 5 للأعلى ",[274,277,280,283],{"_8":275,"_46":276},219099,"ازاحة بمقدار 5 لليمين",{"_8":278,"_46":279},219100,"ازاحة بمقدار 4 لليسار",{"_8":281,"_46":282},219101,"ازاحة بمقدار 4 لليمين",{"_8":284,"_46":285},219102,"ازاحة بمقدار 5 للأعلى",[],{"_136":288},[138,162],"التغيير الذي حصل للدالة الأم $\"\"$ ",{"_8":291,"_44":45,"_46":292,"_12":293,"_10":294,"_52":53,"_118":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":19,"_61":-5,"_62":295,"_92":308,"_94":38,"_133":38,"_134":309,"_67":311},56903,"ما قيمة \\ltr{f^{-1}} للدالة \\ltr{f(x) = \\sqrt[3]{x-5}}","56903-%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%7D-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7D-%7B5","ما قيمة f^-1 للدالة f(x) = √(x-5) A)x+5 B)x^3-5 C)-x/5 D)x^3+5 ",[296,299,302,305],{"_8":297,"_46":298},219095,"\\ltr{x+5}",{"_8":300,"_46":301},219096,"\\ltr{x^3-5}",{"_8":303,"_46":304},219097,"\\ltr{-\\frac{x}{5}}",{"_8":306,"_46":307},219098,"\\ltr{x^3+5}",[],{"_136":310},[161,162],"ما قيمة $\"\"/$ للدالة $\"\"/$ ",{"_8":313,"_44":45,"_46":314,"_12":315,"_10":316,"_52":53,"_118":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":19,"_61":-5,"_62":317,"_92":330,"_94":38,"_133":38,"_134":331,"_67":333},56899,"ما مجال الدالة \\ltr{f(x) = 3 - \\sqrt{x}} ؟","56899-%D9%85%D8%A7-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9","ما مجال الدالة f(x) = 3 - √(x) ؟ A)x ≥0 B)x ≥3 C)x ≤3 D)x ≤0 ",[318,321,324,327],{"_8":319,"_46":320},219079,"\\ltr{x \\geq 0}",{"_8":322,"_46":323},219080,"\\ltr{x \\geq 3}",{"_8":325,"_46":326},219081,"\\ltr{x \\leq 3}",{"_8":328,"_46":329},219082,"\\ltr{x \\leq 0}",[],{"_136":332},[223,161],"ما مجال الدالة $\"\"/$ ؟","detailedAnswer",[336,341,343,345],{"_8":65,"_46":66,"_337":38,"_338":339,"_340":-5},"is_correct","question_option_details",[],"has_access",{"_8":70,"_46":71,"_337":38,"_338":342,"_340":-5},[],{"_8":74,"_46":75,"_337":38,"_338":344,"_340":-5},[],{"_8":78,"_46":79,"_337":19,"_338":346,"_340":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

ما الدالة العكسية للدالة ؟

ما الدالة العكسية $\ltr{f^{-1}}$ للدالة $\ltr{f(x) = \sqrt{x+2}}$ ؟