[{"_1":2,"_308":-5,"_309":-5},"loaderData",{"_3":4,"_43":44,"_307":-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,"_288":289,"_301":302,"_303":42,"_304":47,"_305":306},"loaderQuestion",{"_8":47,"_48":49,"_50":51,"_10":52,"_12":53,"_54":55,"_56":57,"_58":59,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":67,"_84":85,"_90":91,"_95":96,"_97":42,"_98":-5,"_99":100,"_101":102,"_103":104,"_105":106,"_107":19,"_71":108,"_109":110,"_111":112},74132,"type","MULTIPLE_CHOICE","text","حدد مجال الدالة العكسية للدالة \\ltr{\\;f(x)\\;=\\;5\\;\\sqrt{\\;x\\;-\\;1\\;}}","حدد مجال الدالة العكسية للدالة f(x) = 5 √( x - 1 ) A) 0 , ∞ ) B) 1 , ∞ ) C) 5 , ∞ ) D)0 ","74132-حدد-مجال-الدالة-العكسية-للدالة-}-0","order",242,"unit_id",50,"topic_id",3,"comparison_value1","","comparison_value2","has_text_explanation","has_video_explanation","question_group","question_options",[68,73,77,81],{"_8":69,"_50":70,"_71":72},275735,"\\ltr{\\;\\lbrack\\;0\\;,\\;\\infty\\;)\\;}","renderedText"," $\"\"/$ ",{"_8":74,"_50":75,"_71":76},275736,"\\ltr{\\;\\lbrack\\;1\\;,\\;\\infty\\;)\\;}"," $\"\"/$ ",{"_8":78,"_50":79,"_71":80},275737,"\\ltr{\\;\\lbrack\\;5\\;,\\;\\infty\\;)\\;}"," $\"\"/$ ",{"_8":82,"_50":83,"_71":83},275738,"0","previous_question",{"_8":86,"_48":49,"_50":87,"_12":88,"_10":-5,"_60":61,"_62":61,"_63":-5,"_64":-5,"_56":-5,"_89":-5,"_58":-5,"_65":-5},74114,"بسط العبارة التالية \\ltr{\\;\\frac{\\;2\\;}{1\\;-\\;i\\;}}","74114-بسط-العبارة-التالية-{1-i}}-1-i-i-1+i","section_id","next_question",{"_8":92,"_48":49,"_50":93,"_12":94,"_10":-5,"_60":61,"_62":61,"_63":-5,"_64":-5,"_56":-5,"_89":-5,"_58":-5,"_65":-5},74138,"إذا كان \\ltr{f(x)\\;=\\;\\frac{\\;x^{\\;3}\\;-\\;x\\;\\;}{x^{\\;2}\\;}\\;} , فإذا كانت x=0 فحدد نوع عدم الاتصال","74138-إذا-كان-x}{x^{2}}}-,-فإذا-كانت-x=0-فحدد-نوع-عدم-الاتصال-لا-نهائي-قفزي-قابل-للإزالة-نهائي","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",243,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","حدد مجال الدالة العكسية للدالة $\"\"/$ ","encodedPrevQuestionSlug","74114-%D8%A8%D8%B3%D8%B7-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%7B1-i%7D%7D-1-i-i-1%2Bi","encodedNextQuestionSlug","74138-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-x%7D%7Bx%5E%7B2%7D%7D%7D-%2C-%D9%81%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-x%3D0-%D9%81%D8%AD%D8%AF%D8%AF-%D9%86%D9%88%D8%B9-%D8%B9%D8%AF%D9%85-%D8%A7%D9%84%D8%A7%D8%AA%D8%B5%D8%A7%D9%84-%D9%84%D8%A7-%D9%86%D9%87%D8%A7%D8%A6%D9%8A-%D9%82%D9%81%D8%B2%D9%8A-%D9%82%D8%A7%D8%A8%D9%84-%D9%84%D9%84%D8%A5%D8%B2%D8%A7%D9%84%D8%A9-%D9%86%D9%87%D8%A7%D8%A6%D9%8A","relatedQuestions",[115,135,155,174,194,214,232,250,270],{"_8":86,"_48":49,"_50":87,"_12":110,"_10":116,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":118,"_95":131,"_97":42,"_132":42,"_133":-5,"_71":134},"بسط العبارة التالية 2 /1 - i A)1 B)i C)i- D)1+i ","unit_name",[119,122,125,128],{"_8":120,"_50":121},275663,"1",{"_8":123,"_50":124},275664,"i",{"_8":126,"_50":127},275665,"i-",{"_8":129,"_50":130},275666,"1+i",[],"is_all_explanations_deleted","contents_tags_ids","بسط العبارة التالية $\"\"/$ ",{"_8":136,"_48":49,"_50":137,"_12":138,"_10":139,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":140,"_95":153,"_97":42,"_132":42,"_133":-5,"_71":154},74097,"أوجد الدالة العكسية للدالة \\ltr{\\;f(\\;x)\\:=\\;\\frac{\\;4\\;}{3\\;}\\;(\\;x\\;+1\\;)\\;}","74097-%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-%7B3%7D(x%2B1)%7D-%7B4%7D(x-1)%7D-%7B4%7Dx-1%7D-%7B3%7D(x%2B1)%7D-%7B4%7Dx%2B1","أوجد الدالة العكسية للدالة f( x) = 4 /3 ( x +1 ) A) 3 /4 ( x -1 ) B) 3 /4 x -1 C) 4 /3 ( x +1 ) D) 3 /4 x +1 ",[141,144,147,150],{"_8":142,"_50":143},275595,"\\ltr{\\;\\frac{\\;3\\;}{4\\;}\\;(\\;x\\;-1\\;)\\;}",{"_8":145,"_50":146},275596,"\\ltr{\\;\\frac{\\;3\\;}{4\\;}\\;\\;x\\;-1\\;\\;}",{"_8":148,"_50":149},275597,"\\ltr{\\;\\frac{\\;4\\;}{3\\;}\\;(\\;x\\;+1\\;)\\;}",{"_8":151,"_50":152},275598,"\\ltr{\\;\\frac{\\;3\\;}{4\\;}\\;\\;x\\;+1\\;\\;}",[],"أوجد الدالة العكسية للدالة $\"\"/$ ",{"_8":156,"_48":49,"_50":157,"_12":158,"_10":159,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":160,"_95":173,"_97":42,"_132":42,"_133":-5,"_71":157},74095,"أي الجذور التالية مختلف؟","74095-%D8%A3%D9%8A-%D8%A7%D9%84%D8%AC%D8%B0%D9%88%D8%B1-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D9%85%D8%AE%D8%AA%D9%84%D9%81","أي الجذور التالية مختلف؟ A) √( 87 ) B) √( 12 ) C) √( 16 ) D) √( 26 ) ",[161,164,167,170],{"_8":162,"_50":163},275587,"\\ltr{\\;\\;\\sqrt{\\;87\\;}\\;}",{"_8":165,"_50":166},275588,"\\ltr{\\;\\;\\sqrt{\\;12\\;}\\;}",{"_8":168,"_50":169},275589,"\\ltr{\\;\\;\\sqrt{\\;16\\;}\\;}",{"_8":171,"_50":172},275590,"\\ltr{\\;\\;\\sqrt{\\;26\\;}\\;}",[],{"_8":175,"_48":49,"_50":176,"_12":177,"_10":178,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":179,"_95":192,"_97":42,"_132":42,"_133":-5,"_71":193},73589,"ما قيم \\ltr{x} التي تجعل العبارة \\ltr{(\\;x\\;)\\;^{-2}\\;(x\\;-\\;3\\;)\\;(\\;x\\;^2\\;\\;-7\\;x\\;+\\;12\\;)\\;^{-1}} غير معرفة؟","73589-%D9%85%D8%A7-%D9%82%D9%8A%D9%85-%D8%A7%D9%84%D8%AA%D9%8A-%D8%AA%D8%AC%D8%B9%D9%84-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-(x-3)(x%5E2-7x%2B12)%5E%7B-1%7D%7D-%D8%BA%D9%8A%D8%B1-%D9%85%D8%B9%D8%B1%D9%81%D8%A9","ما قيم x التي تجعل العبارة ( x ) ^-2 (x - 3 ) ( x ^2 -7 x + 12 ) ^-1 غير معرفة؟ A){ 3 , 4 } B){ - 3 , - 4 } C){ 0 , 3 , 4 } D){ 2 , - 6 } ",[180,183,186,189],{"_8":181,"_50":182},273860,"\\ltr{\\left\\{\\;3\\;,\\;4\\;\\right\\}}",{"_8":184,"_50":185},273861,"\\ltr{\\left\\{\\;- 3\\;,\\;- 4\\;\\right\\}}",{"_8":187,"_50":188},273862,"\\ltr{\\left\\{\\;0\\;,\\;3\\;,\\;4\\;\\right\\}}",{"_8":190,"_50":191},273863,"\\ltr{\\left\\{\\;2\\;,\\;- 6\\;\\right\\}}",[],"ما قيم $\"\"/$ التي تجعل العبارة $\"\"/$ غير معرفة؟",{"_8":195,"_48":49,"_50":196,"_12":197,"_10":198,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":199,"_95":212,"_97":42,"_132":42,"_133":-5,"_71":213},73578,"إذا كان \\ltr{\\sqrt{x\\;^5}\\;=\\;32} فما قيمة x ؟","73578-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-=32%7D-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-x-2-4-8-16","إذا كان √(x ^5) = 32 فما قيمة x ؟ A)2 B)4 C)8 D)16 ",[200,203,206,209],{"_8":201,"_50":202},273816,"2",{"_8":204,"_50":205},273817,"4",{"_8":207,"_50":208},273818,"8",{"_8":210,"_50":211},273819,"16",[],"إذا كان $\"\"/$ فما قيمة x ؟",{"_8":215,"_48":49,"_50":216,"_12":217,"_10":218,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":219,"_95":230,"_97":42,"_132":42,"_133":-5,"_71":231},73577,"اذا كان \\ltr{\\sqrt[4\\;]{3\\;d^{\\;7}}} يمثل خسائر شركة ما في شهر محرم فإذا كانت d = 3 فاحسب الخسارة بالآلآف","73577-%D8%A7%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%7D%7D-%D9%8A%D9%85%D8%AB%D9%84-%D8%AE%D8%B3%D8%A7%D8%A6%D8%B1-%D8%B4%D8%B1%D9%83%D8%A9-%D9%85%D8%A7-%D9%81%D9%8A-%D8%B4%D9%87%D8%B1-%D9%85%D8%AD%D8%B1%D9%85-%D9%81%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-d-=-3-%D9%81%D8%A7%D8%AD%D8%B3%D8%A8-%D8%A7%D9%84%D8%AE%D8%B3%D8%A7%D8%B1%D8%A9-%D8%A8%D8%A7%D9%84%D8%A2%D9%84%D8%A2%D9%81-4-7-8-9","اذا كان √(3 d^ 7) يمثل خسائر شركة ما في شهر محرم فإذا كانت d = 3 فاحسب الخسارة بالآلآف A)4 B)7 C)8 D)9 ",[220,222,225,227],{"_8":221,"_50":205},273812,{"_8":223,"_50":224},273813,"7",{"_8":226,"_50":208},273814,{"_8":228,"_50":229},273815,"9",[],"اذا كان $\"\"/$ يمثل خسائر شركة ما في شهر محرم فإذا كانت d = 3 فاحسب الخسارة بالآلآف",{"_8":233,"_48":49,"_50":234,"_12":235,"_10":236,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":237,"_95":248,"_97":42,"_132":42,"_133":-5,"_71":249},73326,"اذا كان \\ltr{g\\;(\\;x)\\;=\\;2\\;x^{\\;2}\\;-\\;1\\;و\\;f\\;(\\;x\\;)\\;=\\;x\\;-\\;3} أوجد \\ltr{f\\;\\left[\\;g\\;(\\;-1\\;)\\;\\right]}","73326-%D8%A7%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-1%D9%88f(x)=x-3%7D-%D8%A3%D9%88%D8%AC%D8%AF-2-4","اذا كان g ( x) = 2 x^ 2 - 1 و f ( x ) = x - 3 أوجد f [ g ( -1 ) ] A)2 B)4 C)-2 D)-4 ",[238,240,242,245],{"_8":239,"_50":202},273138,{"_8":241,"_50":205},273139,{"_8":243,"_50":244},273140,"\\ltr{-2}",{"_8":246,"_50":247},273141,"\\ltr{-4}",[],"اذا كان $\"\"/$ أوجد $\"\"/$ ",{"_8":251,"_48":49,"_50":252,"_12":253,"_10":254,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":255,"_95":268,"_97":42,"_132":42,"_133":-5,"_71":269},73174,"أوجد الدالة العكسية للدالة \\ltr{f\\;(\\;x\\;)\\;=\\;\\sqrt{x\\;+\\;3}} ؟","73174-%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-%7D-(x)-=-x%5E2-%2B-3%2C%2C-x-0%7D-(x)-=-x%5E2-3%2C%2C-x-0%7D-(x)-=-x%5E2-%2B-3%2C%2C-x-0%7D-(x)-=-x%5E2-3%2C%2C-x-0","أوجد الدالة العكسية للدالة f ( x ) = √(x + 3) ؟ A)f^-1(x) = x^2 + 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 ",[256,259,262,265],{"_8":257,"_50":258},272629,"\\ltr{f^{-1}(x) = x^2 + 3,\\, x \\geq 0}",{"_8":260,"_50":261},272630,"\\ltr{f^{-1}(x) = x^2 - 3,\\, x \\geq 0}",{"_8":263,"_50":264},272631,"\\ltr{f^{-1}(x) = x^2 + 3,\\, x \\leq 0}",{"_8":266,"_50":267},272632,"\\ltr{f^{-1}(x) = x^2 - 3,\\, x \\leq 0}",[],"أوجد الدالة العكسية للدالة $\"\"/$ ؟",{"_8":92,"_48":49,"_50":93,"_12":271,"_10":272,"_56":57,"_117":-5,"_58":59,"_89":106,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":273,"_95":286,"_97":42,"_132":42,"_133":-5,"_71":287},"74138-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-x%7D%7Bx%5E%7B2%7D%7D%7D-%2C-%D9%81%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-x=0-%D9%81%D8%AD%D8%AF%D8%AF-%D9%86%D9%88%D8%B9-%D8%B9%D8%AF%D9%85-%D8%A7%D9%84%D8%A7%D8%AA%D8%B5%D8%A7%D9%84-%D9%84%D8%A7-%D9%86%D9%87%D8%A7%D8%A6%D9%8A-%D9%82%D9%81%D8%B2%D9%8A-%D9%82%D8%A7%D8%A8%D9%84-%D9%84%D9%84%D8%A5%D8%B2%D8%A7%D9%84%D8%A9-%D9%86%D9%87%D8%A7%D8%A6%D9%8A","إذا كان f(x) = x^ 3 - x /x^ 2 , فإذا كانت x=0 فحدد نوع عدم الاتصال A)لا نهائي B)قفزي C)قابل للإزالة D)نهائي ",[274,277,280,283],{"_8":275,"_50":276},275759,"لا نهائي",{"_8":278,"_50":279},275760,"قفزي",{"_8":281,"_50":282},275761,"قابل للإزالة",{"_8":284,"_50":285},275762,"نهائي",[],"إذا كان $\"\"/$ , فإذا كانت x=0 فحدد نوع عدم الاتصال","detailedAnswer",[290,295,297,299],{"_8":69,"_50":70,"_291":19,"_292":293,"_294":-5},"is_correct","question_option_details",[],"has_access",{"_8":74,"_50":75,"_291":42,"_292":296,"_294":-5},[],{"_8":78,"_50":79,"_291":42,"_292":298,"_294":-5},[],{"_8":82,"_50":83,"_291":42,"_292":300,"_294":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]