[{"_1":2,"_355":-5,"_356":-5},"loaderData",{"_3":4,"_39":40,"_354":-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,"_335":336,"_348":349,"_350":38,"_351":43,"_352":353},"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},68412,"type","MULTIPLE_CHOICE","text","مجال الدالة \\ltr{f(x) = \\frac{\\sqrt{x+3}}{x-3}} هو:","مجال الدالة f(x) = √(x+3)/x-3 هو: A){x|x ≤3} B){x|x ≥-3, x ≠3} C){x|x ≤3, x ≠3} D){x|x ≥3} ","68412-مجال-الدالة-}{x-3}}-هو","order",181,"unit_id",48,"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},255495,"\\ltr{\\{x|x \\leq 3\\}}","renderedText"," $\"\"/$ ",{"_8":70,"_46":71,"_67":72},255496,"\\ltr{\\{x|x \\geq -3,\\, x \\neq 3\\}}"," $\"\"/$ ",{"_8":74,"_46":75,"_67":76},255497,"\\ltr{\\{x|x \\leq 3,\\, x \\neq 3\\}}"," $\"\"/$ ",{"_8":78,"_46":79,"_67":80},255498,"\\ltr{\\{x|x \\geq 3\\}}"," $\"\"/$ ","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},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-في-الشكل-إذا-كانت-الدالة-هي-الدالة-الأم-للدالة-فإن-معادلة-هي","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},68413,"أوجد مدى الدالة \\ltr{f(x) = 2x - 5} إذا كان \\ltr{-1 < x < 3} .","68413-أوجد-مدى-الدالة-إذا-كان","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",325,"unitTitle","الدوال والمتباينات والمصفوفات","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","مجال الدالة $\"\"/$ هو:","encodedPrevQuestionSlug","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","encodedNextQuestionSlug","68413-%D8%A3%D9%88%D8%AC%D8%AF-%D9%85%D8%AF%D9%89-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86","relatedQuestions",[112,141,164,186,210,232,251,273,295,317],{"_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":140},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 ",50,"unit_name",[120,123,126,129],{"_8":121,"_46":122},255491,"\\ltr{f^{-1}(x) = x^3 + 2;\\ x \\leq 0}",{"_8":124,"_46":125},255492,"\\ltr{f^{-1}(x) = x^2 + 2;\\ x \\geq 0}",{"_8":127,"_46":128},255493,"\\ltr{f^{-1}(x) = x^2 - 2;\\ x \\leq 0}",{"_8":130,"_46":131},255494,"\\ltr{f^{-1}(x) = x^2 - 2;\\ x \\geq 0}",[],"is_all_explanations_deleted","contents_tags_ids",{"_136":137},"ids",[138,139],1548,1549,"ما الدالة العكسية $\"\"/$ للدالة $\"\"/$ ؟",{"_8":142,"_44":45,"_46":143,"_12":144,"_10":145,"_52":53,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":146,"_92":159,"_94":38,"_133":38,"_134":160,"_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 ",[147,150,153,156],{"_8":148,"_46":149},255467,"\\ltr{\\frac{1}{5}}",{"_8":151,"_46":152},255468,"\\ltr{\\frac{2}{7}}",{"_8":154,"_46":155},255469,"\\ltr{\\frac{7}{2}}",{"_8":157,"_46":158},255470,"\\ltr{5}",[],{"_136":161},[139,162],1555,"ما متوسط معدل التغير للدالة $\"\"/$ على الفترة $\"\"/$ ؟",{"_8":165,"_44":45,"_46":166,"_12":167,"_10":168,"_52":53,"_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},[139],"ما هي الدالة الممثلة في الشكل التالي؟ $\"\"$ ",{"_8":187,"_44":45,"_46":188,"_12":189,"_10":190,"_52":53,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":191,"_92":204,"_94":38,"_133":38,"_134":205,"_67":209},68376,"الدالة \\ltr{f(x)=\\frac{1}{x-2}} غير متصلة عند \\ltr{x=2}، ما نوع عدم الاتصال؟","68376-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7Bx-2%7D%7D-%D8%BA%D9%8A%D8%B1-%D9%85%D8%AA%D8%B5%D9%84%D8%A9-%D8%B9%D9%86%D8%AF-%D9%85%D8%A7-%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%82%D9%81%D8%B2%D9%8A-%D8%BA%D9%8A%D8%B1-%D9%85%D8%AD%D8%AF%D8%AF-%D9%84%D8%A7-%D9%86%D9%87%D8%A7%D8%A6%D9%8A-%D9%82%D8%A7%D8%A8%D9%84-%D9%84%D9%84%D8%A5%D8%B2%D8%A7%D9%84%D8%A9","الدالة f(x)=1/x-2 غير متصلة عند x=2، ما نوع عدم الاتصال؟ A)قفزي B)غير محدد C)لا نهائي D)قابل للإزالة ",[192,195,198,201],{"_8":193,"_46":194},255351,"قفزي",{"_8":196,"_46":197},255352,"غير محدد",{"_8":199,"_46":200},255353,"لا نهائي",{"_8":202,"_46":203},255354,"قابل للإزالة",[],{"_136":206},[207,208],1550,1562,"الدالة $\"\"/$ غير متصلة عند $\"\"/$ ، ما نوع عدم الاتصال؟",{"_8":211,"_44":45,"_46":212,"_12":213,"_10":214,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":19,"_61":-5,"_62":215,"_92":228,"_94":38,"_133":38,"_134":229,"_67":231},57022,"مجال الدالة \\ltr{f(x) = \\frac{2x - 1}{\\sqrt{x^2 - 3x - 4}}}","57022-%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) ",[216,219,222,225],{"_8":217,"_46":218},219538,"\\ltr{R - \\{-1, 4\\}}",{"_8":220,"_46":221},219539,"\\ltr{(-1, 4)}",{"_8":223,"_46":224},219540,"\\ltr{(-\\infty, -1) \\cup (4, \\infty)}",{"_8":226,"_46":227},219541,"\\ltr{(-1, \\infty) \\cup (-\\infty, -4)}",[],{"_136":230},[139,207],"مجال الدالة $\"\"/$ ",{"_8":233,"_44":45,"_46":234,"_12":235,"_10":236,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":19,"_61":-5,"_62":237,"_92":246,"_94":38,"_133":38,"_134":247,"_67":250},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) ",[238,240,242,244],{"_8":239,"_46":218},219462,{"_8":241,"_46":221},219463,{"_8":243,"_46":224},219464,{"_8":245,"_46":227},219465,[],{"_136":248},[249,139],1542,"مجال الدالة $\"\"/$ ",{"_8":252,"_44":45,"_46":253,"_12":254,"_10":255,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":19,"_61":-5,"_62":256,"_92":269,"_94":38,"_133":38,"_134":270,"_67":272},57002,"أي القيم الآتية يمثل أحد حلول: \\ltr{\\frac{2m}{(m+1)} - \\frac{4}{(m+2)} = \\frac{4}{m^2+3m+2}}","57002-%D8%A3%D9%8A-%D8%A7%D9%84%D9%82%D9%8A%D9%85-%D8%A7%D9%84%D8%A2%D8%AA%D9%8A%D8%A9-%D9%8A%D9%85%D8%AB%D9%84-%D8%A3%D8%AD%D8%AF-%D8%AD%D9%84%D9%88%D9%84-%7B(m%2B1)%7D-%7B(m%2B2)%7D-=-%7Bm%5E2%2B3m%2B2%7D%7D-0-1-2-1","أي القيم الآتية يمثل أحد حلول: 2m/(m+1) - 4/(m+2) = 4/m^2+3m+2 A)-1 B)2 C)1 D)0 ",[257,260,263,266],{"_8":258,"_46":259},219458,"-1",{"_8":261,"_46":262},219459,"2",{"_8":264,"_46":265},219460,"1",{"_8":267,"_46":268},219461,"0",[],{"_136":271},[207],"أي القيم الآتية يمثل أحد حلول: $\"\"/$ ",{"_8":274,"_44":45,"_46":275,"_12":276,"_10":277,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":19,"_61":-5,"_62":278,"_92":291,"_94":38,"_133":38,"_134":292,"_67":294},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 ",[279,282,285,288],{"_8":280,"_46":281},219438,"\\ltr{2 \\, k^4 \\, h^6}",{"_8":283,"_46":284},219439,"\\ltr{2 \\, k^8 \\, h^{12}}",{"_8":286,"_46":287},219440,"\\ltr{8 \\, k^8 \\, h^{12}}",{"_8":289,"_46":290},219441,"\\ltr{4 \\, k^4 \\, h^6}",[],{"_136":293},[139],"المقدار $\"\"/$ ",{"_8":296,"_44":45,"_46":297,"_12":298,"_10":299,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":19,"_61":-5,"_62":300,"_92":313,"_94":38,"_133":38,"_134":314,"_67":316},56985,"قيم \\ltr{x} التي تجعل العبارة \\ltr{\\frac{x^2 - 1}{x^2 - 5x + 6}} غير معرفة","56985-%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-%7Bx%5E2-5x-%2B-6%7D%7D-%D8%BA%D9%8A%D8%B1-%D9%85%D8%B9%D8%B1%D9%81%D8%A9","قيم x التي تجعل العبارة x^2 - 1/x^2 - 5x + 6 غير معرفة A)+1, 2, -3 B)2, 3 C)+1 D)-2, -3, 6 ",[301,304,307,310],{"_8":302,"_46":303},219390,"\\ltr{+1, 2, -3}",{"_8":305,"_46":306},219391,"\\ltr{2, 3}",{"_8":308,"_46":309},219392,"\\ltr{+1}",{"_8":311,"_46":312},219393,"\\ltr{-2, -3, 6}",[],{"_136":315},[207],"قيم $\"\"/$ التي تجعل العبارة $\"\"/$ غير معرفة",{"_8":318,"_44":45,"_46":319,"_12":320,"_10":321,"_52":117,"_118":-5,"_54":55,"_86":103,"_56":-5,"_58":-5,"_59":38,"_60":19,"_61":-5,"_62":322,"_92":331,"_94":38,"_133":38,"_134":332,"_67":334},56980,"قيم x التي تجعل العبارة \\ltr{\\frac{x^2-1}{x^2-5x+6}} غير معروفة","56980-%D9%82%D9%8A%D9%85-x-%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-%7Bx%5E2-5x%2B6%7D%7D-%D8%BA%D9%8A%D8%B1-%D9%85%D8%B9%D8%B1%D9%88%D9%81%D8%A9","قيم x التي تجعل العبارة x^2-1/x^2-5x+6 غير معروفة A)+1, 2, -3 B)2, 3 C)+1 D)-2, -3, 6 ",[323,325,327,329],{"_8":324,"_46":303},219370,{"_8":326,"_46":306},219371,{"_8":328,"_46":309},219372,{"_8":330,"_46":312},219373,[],{"_136":333},[207],"قيم x التي تجعل العبارة $\"\"/$ غير معروفة","detailedAnswer",[337,342,344,346],{"_8":65,"_46":66,"_338":38,"_339":340,"_341":-5},"is_correct","question_option_details",[],"has_access",{"_8":70,"_46":71,"_338":19,"_339":343,"_341":-5},[],{"_8":74,"_46":75,"_338":38,"_339":345,"_341":-5},[],{"_8":78,"_46":79,"_338":38,"_339":347,"_341":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

مجال الدالة هو:

مجال الدالة $\ltr{f(x) = \frac{\sqrt{x+3}}{x-3}}$ هو: