[{"_1":2,"_369":-5,"_370":-5},"loaderData",{"_3":4,"_43":44,"_368":-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,"_349":350,"_362":363,"_364":42,"_365":47,"_366":367},"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},54630,"type","MULTIPLE_CHOICE","text","مجال الدالة \\ltr{f(x) = \\sqrt{x+2}} يساوي:","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} ","54630-مجال-الدالة-}-يساوي","order",82,"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},211026,"\\ltr{\\{x | x \\geq 2, x \\in \\mathbb{R}\\}}","renderedText"," $\"\"/$ ",{"_8":73,"_50":74,"_70":75},211027,"\\ltr{\\{x | x \\geq -2, x \\in \\mathbb{R}\\}}"," $\"\"/$ ",{"_8":77,"_50":78,"_70":79},211028,"\\ltr{\\{x | x \\leq 2, x \\in \\mathbb{R}\\}}"," $\"\"/$ ",{"_8":81,"_50":82,"_70":83},211029,"\\ltr{\\{x | x \\leq -2, x \\in \\mathbb{R}\\}}"," $\"\"/$ ","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},54628,"إذا كانت \\ltr{f(x) = \\frac{2}{3}x - 4} فإن \\ltr{f^{-1}(x) = }","54628-إذا-كانت-{3}x-4}-فإن-(x)-=-}-{2}x-+-6}-{2}x-+-8}-{2}x-+-9}-{2}x-+-12","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},54637,"الدالة العكسية للدالة \\ltr{f(x) = \\sqrt{x} + 3} هي: \\ltr{f^{-1}(x)} تساوي:","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","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",243,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","مجال الدالة $\"\"/$ يساوي:","encodedPrevQuestionSlug","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)-%3D-%7D-%7B2%7Dx-%2B-6%7D-%7B2%7Dx-%2B-8%7D-%7B2%7Dx-%2B-9%7D-%7B2%7Dx-%2B-12","encodedNextQuestionSlug","54637-%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-%2B-3%7D-%D9%87%D9%8A-(x)%7D-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-(x)-%3D-x%5E2-3%2C%2C-x-0%7D-(x)-%3D-x%5E2-%2B-3%2C%2C-x-0%7D-(x)-%3D-x%5E2-3%2C%2C-x-0%7D-(x)-%3D-x%5E3-%2B-3%2C%2C-x-0","relatedQuestions",[115,143,165,189,212,234,258,280,304,327],{"_8":116,"_48":49,"_50":117,"_12":118,"_10":119,"_56":120,"_121":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":122,"_95":135,"_97":42,"_136":42,"_137":138,"_70":142},54622,"تتغير m طردياً مع n وعكسياً مع z التعبير المناسب لهذه العلاقة حيث \\ltr{k \\neq 0} هو:","54622-%D8%AA%D8%AA%D8%BA%D9%8A%D8%B1-m-%D8%B7%D8%B1%D8%AF%D9%8A%D8%A7%D9%8B-%D9%85%D8%B9-n-%D9%88%D8%B9%D9%83%D8%B3%D9%8A%D8%A7%D9%8B-%D9%85%D8%B9-z-%D8%A7%D9%84%D8%AA%D8%B9%D8%A8%D9%8A%D8%B1-%D8%A7%D9%84%D9%85%D9%86%D8%A7%D8%B3%D8%A8-%D9%84%D9%87%D8%B0%D9%87-%D8%A7%D9%84%D8%B9%D9%84%D8%A7%D9%82%D8%A9-%D8%AD%D9%8A%D8%AB-%D9%87%D9%88-%7Bn%7D%7D-%7Bm%7D%7D-%7Bmz","تتغير m طردياً مع n وعكسياً مع z التعبير المناسب لهذه العلاقة حيث k ≠0 هو: A)mn = kz B)z = kn/m C)n = k/mz D)km = z/n ",48,"unit_name",[123,126,129,132],{"_8":124,"_50":125},210994,"\\ltr{mn = kz}",{"_8":127,"_50":128},210995,"\\ltr{z = \\frac{kn}{m}}",{"_8":130,"_50":131},210996,"\\ltr{n = \\frac{k}{mz}}",{"_8":133,"_50":134},210997,"\\ltr{km = \\frac{z}{n}}",[],"is_all_explanations_deleted","contents_tags_ids",{"_139":140},"ids",[141],1542,"تتغير m طردياً مع n وعكسياً مع z التعبير المناسب لهذه العلاقة حيث $\"\"/$ هو:",{"_8":144,"_48":49,"_50":145,"_12":146,"_10":147,"_56":120,"_121":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":148,"_95":161,"_97":42,"_136":42,"_137":162,"_70":164},54620,"إذا كان \\ltr{f(x) = [0.3x] - 1} فأوجد \\ltr{f(-6)}","54620-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D9%81%D8%A3%D9%88%D8%AC%D8%AF-0-2-3-1","إذا كان f(x) = [0.3x] - 1 فأوجد f(-6) A)-3 B)-2 C)-1 D)0 ",[149,152,155,158],{"_8":150,"_50":151},210986,"-3",{"_8":153,"_50":154},210987,"-2",{"_8":156,"_50":157},210988,"-1",{"_8":159,"_50":160},210989,"0",[],{"_139":163},[141],"إذا كان $\"\"/$ فأوجد $\"\"/$ ",{"_8":166,"_48":49,"_50":167,"_12":168,"_10":169,"_56":120,"_121":-5,"_58":59,"_89":106,"_60":170,"_61":170,"_62":42,"_63":19,"_64":-5,"_65":171,"_95":184,"_97":42,"_136":42,"_137":185,"_70":188},54608,"أوجد مجال الدالة \\ltr{f(x) = 3x^2 - 2} إذا كان المدى \\ltr{1 < f(x) < 46}","54608-%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-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D8%A7%D9%84%D9%85%D8%AF%D9%89","أوجد مجال الدالة f(x) = 3x^2 - 2 إذا كان المدى 1 < f(x) < 46 A)R B)1 < x < 4 C)1 < x < 46 D)[y | 48 ≤y] ","",[172,175,178,181],{"_8":173,"_50":174},210938,"\\ltr{R}",{"_8":176,"_50":177},210939,"\\ltr{1 < x < 4}",{"_8":179,"_50":180},210940,"\\ltr{1 < x < 46}",{"_8":182,"_50":183},210941,"\\ltr{[y | 48 \\leq y]}",[],{"_139":186},[141,187],1544,"أوجد مجال الدالة $\"\"/$ إذا كان المدى $\"\"/$ ",{"_8":190,"_48":49,"_50":191,"_12":192,"_10":193,"_56":57,"_121":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":194,"_95":207,"_97":42,"_136":42,"_137":208,"_70":211},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 ",[195,198,201,204],{"_8":196,"_50":197},210930,"\\ltr{x > 7}",{"_8":199,"_50":200},210931,"\\ltr{x < 1}",{"_8":202,"_50":203},210932,"\\ltr{x \\geq 7}",{"_8":205,"_50":206},210933,"\\ltr{x > 1}",[],{"_139":209},[141,210],1549,"أوجد مجال الدالة $\"\"/$ ",{"_8":213,"_48":49,"_50":214,"_12":215,"_10":216,"_56":120,"_121":-5,"_58":59,"_89":106,"_60":170,"_61":170,"_62":42,"_63":19,"_64":-5,"_65":217,"_95":230,"_97":42,"_136":42,"_137":231,"_70":214},54597,"أي من الدوال الممثلة بيانيًا بالأشكال الآتية دالة فردية؟","54597-%D8%A3%D9%8A-%D9%85%D9%86-%D8%A7%D9%84%D8%AF%D9%88%D8%A7%D9%84-%D8%A7%D9%84%D9%85%D9%85%D8%AB%D9%84%D8%A9-%D8%A8%D9%8A%D8%A7%D9%86%D9%8A%D9%8B%D8%A7-%D8%A8%D8%A7%D9%84%D8%A3%D8%B4%D9%83%D8%A7%D9%84-%D8%A7%D9%84%D8%A2%D8%AA%D9%8A%D8%A9-%D8%AF%D8%A7%D9%84%D8%A9-%D9%81%D8%B1%D8%AF%D9%8A%D8%A9","أي من الدوال الممثلة بيانيًا بالأشكال الآتية دالة فردية؟ A) B) C) D) ",[218,221,224,227],{"_8":219,"_50":220},210894,"11f0874f_797e_4633_883f_1b8375a36cb6_00",{"_8":222,"_50":223},210895,"11f0874f_5c51_8e02_883f_7db39661d524_00",{"_8":225,"_50":226},210896,"11f0874f_9ff7_f9a4_883f_439fd82348af_00",{"_8":228,"_50":229},210897,"11f0874f_ca47_9445_883f_bf75f7bfce95_00",[],{"_139":232},[141,233],1555,{"_8":235,"_48":49,"_50":236,"_12":237,"_10":238,"_56":239,"_121":-5,"_58":59,"_89":106,"_60":170,"_61":170,"_62":42,"_63":19,"_64":-5,"_65":240,"_95":253,"_97":42,"_136":42,"_137":254,"_70":257},54594,"العبارة \\ltr{y^{-2}(y^{5} + y^{2})} في أبسط صورة تساوي :","54594-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-(y%5E%7B5%7D-%2B-y%5E%7B2%7D)%7D-%D9%81%D9%8A-%D8%A3%D8%A8%D8%B3%D8%B7-%D8%B5%D9%88%D8%B1%D8%A9-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-1%7D-%2B-1","العبارة y^-2(y^5 + y^2) في أبسط صورة تساوي : A)3y - 1 B)y^3 + 1 C)y^3 - 1 D)3y + 1 ",49,[241,244,247,250],{"_8":242,"_50":243},210882,"\\ltr{3y - 1}",{"_8":245,"_50":246},210883,"\\ltr{y^{3} + 1}",{"_8":248,"_50":249},210884,"\\ltr{y^{3} - 1}",{"_8":251,"_50":252},210885,"\\ltr{3y + 1}",[],{"_139":255},[141,256],1547,"العبارة $\"\"/$ في أبسط صورة تساوي :",{"_8":259,"_48":49,"_50":260,"_12":261,"_10":262,"_56":120,"_121":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":263,"_95":276,"_97":42,"_136":42,"_137":277,"_70":279},54550,"إذا كانت y تتغير طردياً مع x حيث \\ltr{y = 24} عندما \\ltr{x = 8} فما قيمة \\ltr{y} عندما \\ltr{x = 48}؟","54550-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-y-%D8%AA%D8%AA%D8%BA%D9%8A%D8%B1-%D8%B7%D8%B1%D8%AF%D9%8A%D8%A7%D9%8B-%D9%85%D8%B9-x-%D8%AD%D9%8A%D8%AB-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%D8%B9%D9%86%D8%AF%D9%85%D8%A7","إذا كانت y تتغير طردياً مع x حيث y = 24 عندما x = 8 فما قيمة y عندما x = 48؟ A)3 B)5 C)144 D)18 ",[264,267,270,273],{"_8":265,"_50":266},210706,"3",{"_8":268,"_50":269},210707,"5",{"_8":271,"_50":272},210708,"144",{"_8":274,"_50":275},210709,"18",[],{"_139":278},[141],"إذا كانت y تتغير طردياً مع x حيث $\"\"/$ عندما $\"\"/$ فما قيمة $\"\"/$ عندما $\"\"/$ ؟",{"_8":281,"_48":49,"_50":282,"_12":283,"_10":284,"_56":57,"_121":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":42,"_64":-5,"_65":285,"_95":298,"_97":42,"_136":42,"_137":299,"_70":303},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} ",[286,289,292,295],{"_8":287,"_50":288},210662,"\\ltr{\\{x | x \\geq -2 , x \\neq 5\\}}",{"_8":290,"_50":291},210663,"\\ltr{\\{x | x \\geq -2 , x \\neq 23\\}}",{"_8":293,"_50":294},210664,"\\ltr{\\mathbb{R} - \\{5\\}}",{"_8":296,"_50":297},210665,"\\ltr{\\mathbb{R} - \\{-5\\}}",[],{"_139":300},[301,210,302],1548,1550,"إذا كان $\"\"/$ و $\"\"/$ فإن مجال $\"\"/$ ",{"_8":305,"_48":49,"_50":306,"_12":307,"_10":308,"_56":309,"_121":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":19,"_64":-5,"_65":310,"_95":323,"_97":42,"_136":42,"_137":324,"_70":326},54533,"إذا كان \\ltr{x \\cdot 2^3 = \\frac{1}{4}} فإن x تساوي:","54533-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%7B4%7D%7D-%D9%81%D8%A5%D9%86-x-%D8%AA%D8%B3%D8%A7%D9%88%D9%8A-%7D-%7B8","إذا كان x ·2^3 = 1/4 فإن x تساوي: A)2^5 B)2^-5 C)1/8 D)5^2 ",55,[311,314,317,320],{"_8":312,"_50":313},210638,"\\ltr{2^{5}}",{"_8":315,"_50":316},210639,"\\ltr{2^{-5}}",{"_8":318,"_50":319},210640,"\\ltr{\\frac{1}{8}}",{"_8":321,"_50":322},210641,"\\ltr{5^{2}}",[],{"_139":325},[141],"إذا كان $\"\"/$ فإن x تساوي:",{"_8":328,"_48":49,"_50":329,"_12":330,"_10":331,"_56":57,"_121":-5,"_58":59,"_89":106,"_60":-5,"_61":-5,"_62":42,"_63":42,"_64":-5,"_65":332,"_95":345,"_97":42,"_136":42,"_137":346,"_70":348},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) ",[333,336,339,342],{"_8":334,"_50":335},210610,"11f08735_5c04_2fb4_84a4_5fd490b842e8_00",{"_8":337,"_50":338},210611,"11f08735_698e_d4a5_84a4_2d1ef7814d7c_00",{"_8":340,"_50":341},210612,"11f08735_7bdd_6a46_84a4_93e96fe58973_00",{"_8":343,"_50":344},210613,"11f08735_ab4c_0de9_84a4_97910d48b671_00",[],{"_139":347},[210],"التمثيل البياني للدالة $\"\"/$ هو:","detailedAnswer",[351,356,358,360],{"_8":68,"_50":69,"_352":42,"_353":354,"_355":-5},"is_correct","question_option_details",[],"has_access",{"_8":73,"_50":74,"_352":19,"_353":357,"_355":-5},[],{"_8":77,"_50":78,"_352":42,"_353":359,"_355":-5},[],{"_8":81,"_50":82,"_352":42,"_353":361,"_355":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

مجال الدالة يساوي:

مجال الدالة $\ltr{f(x) = \sqrt{x+2}}$ يساوي: