[{"_1":2,"_371":-5,"_372":-5},"loaderData",{"_3":4,"_39":40,"_370":-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,"_347":348,"_360":361,"_366":38,"_367":43,"_368":369},"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},71992,"type","MULTIPLE_CHOICE","text","التمثيل البياني الذي يمثل الدالة \\ltr{f\\;(\\;x\\;)\\;=\\;\\sqrt{x\\;+\\;1}} ...","التمثيل البياني الذي يمثل الدالة f ( x ) = √(x + 1) ... A) B) C) D) ","71992-التمثيل-البياني-الذي-يمثل-الدالة","order",163,"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},268594,"11f14922_68c6_f18b_831c_e7355066c3c5_00","renderedText"," $\"\"$ ",{"_8":70,"_46":71,"_67":72},268595,"11f14922_09ea_e2ca_831c_2570aa1c1cc5_00"," $\"\"$ ",{"_8":74,"_46":75,"_67":76},268596,"11f14924_fcc4_9d9c_831c_39edc275908a_00"," $\"\"$ ",{"_8":78,"_46":79,"_67":80},268597,"11f14921_e851_5a99_831c_3101c3aaa591_00"," $\"\"$ ","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},71991,"إذا كان \\ltr{f(x) = 3x - 3} ، \\ltr{g(x) = x} ، أوجد \\ltr{(fog)(2)}","71991-إذا-كان-أوجد-3-5-6-8","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},71993,"أي التالي يمثل مجال الدالة \\ltr{f(x) = \\sqrt{x-5}}؟","71993-أي-التالي-يمثل-مجال-الدالة","user_video_explanations",[],"has_custom_text_explanation","text_explanation_teaser","total_questions_number",238,"unitTitle","الدوال: العكسية والجذرية والنسبية","sectionTitle","الرياضيات","sectionId",35,"canExpandImages","التمثيل البياني الذي يمثل الدالة $\"\"/$ ...","encodedPrevQuestionSlug","71991-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86-%D8%A3%D9%88%D8%AC%D8%AF-3-5-6-8","encodedNextQuestionSlug","71993-%D8%A3%D9%8A-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A-%D9%8A%D9%85%D8%AB%D9%84-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9","relatedQuestions",[112,140,163,187,209,231,255,279,302,325],{"_8":113,"_44":45,"_46":114,"_12":115,"_10":116,"_52":53,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":118,"_92":131,"_94":38,"_132":38,"_133":134,"_67":139},71982,"إذا كانت \\ltr{(\\;f\\;\\circ\\;g\\;)\\;(\\;x\\;)\\;=\\;2\\;\\;\\;f\\;(\\;x\\;)\\;=\\;\\sqrt{x\\;^2+\\;4\\;}\\;,\\;g\\;(\\;x\\;)\\;=\\sqrt{x\\;^2\\;-\\;4}} اوجد قيمة x","71982-%D8%A5%D8%B0%D8%A7-%D9%83%D8%A7%D9%86%D8%AA-%2Cg(x)=%7D-%D8%A7%D9%88%D8%AC%D8%AF-%D9%82%D9%8A%D9%85%D8%A9-x-2-4-16-9","إذا كانت ( f ∘ g ) ( x ) = 2 f ( x ) = √(x ^2+ 4 ) , g ( x ) =√(x ^2 - 4) اوجد قيمة x A)2 B)4 C)16 D)9 ","unit_name",[119,122,125,128],{"_8":120,"_46":121},268554,"2",{"_8":123,"_46":124},268555,"4",{"_8":126,"_46":127},268556,"16",{"_8":129,"_46":130},268557,"9",[],"is_all_explanations_deleted","contents_tags_ids",{"_135":136},"ids",[137,138],1548,1549,"إذا كانت $\"\"/$ اوجد قيمة x",{"_8":141,"_44":45,"_46":142,"_12":143,"_10":144,"_52":53,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":145,"_92":158,"_94":38,"_132":38,"_133":159,"_67":162},71871,"إذا كانت الدالة\\ltr{f\\;(\\;x\\;)\\;=\\;(\\;x\\;-\\;4\\;)\\;^3} ، فما هي الدالة العكسية لها؟","71871-%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%81%D9%85%D8%A7-%D9%87%D9%8A-%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%87%D8%A7-(x)-=-%7D-(x)-=-%7D-(x)=x%2B4%7D-(x)=x-4","إذا كانت الدالةf ( x ) = ( x - 4 ) ^3 ، فما هي الدالة العكسية لها؟ A)f^-1(x) = √(x-4) B)f^-1(x) = √(x+4) C)f^-1(x)=√(x) + 4 D)f^-1(x)=√(x) - 4 ",[146,149,152,155],{"_8":147,"_46":148},268209,"\\ltr{f^{-1}(x) = \\sqrt[3]{x-4}}",{"_8":150,"_46":151},268210,"\\ltr{f^{-1}(x) = \\sqrt[3]{x+4}}",{"_8":153,"_46":154},268211,"\\ltr{f^{-1}(x)=\\sqrt[3]x\\;+\\;4}",{"_8":156,"_46":157},268212,"\\ltr{f^{-1}(x)=\\sqrt[3]x\\;-\\;4}",[],{"_135":160},[161,137,138],1542,"إذا كانت الدالة $\"\"/$ ، فما هي الدالة العكسية لها؟",{"_8":164,"_44":45,"_46":165,"_12":166,"_10":167,"_52":168,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":169,"_92":182,"_94":38,"_132":38,"_133":183,"_67":186},69367,"أوجد اشتقاق g(x) = 4 \\ltr{\\sqrt[5]{x^9}}.","69367-%D8%A3%D9%88%D8%AC%D8%AF-%D8%A7%D8%B4%D8%AA%D9%82%D8%A7%D9%82-g(x)-=-4-%7D-%7B5%7D-%7D-%7B5%7D-%7D-%7B5%7D-%7D-%7B5","أوجد اشتقاق g(x) = 4 √(x^9). A)6/5 √(x^4) B)36/5 √(x^4) C)36/5 √(x^3) D)6/5 √(x^3) ",60,[170,173,176,179],{"_8":171,"_46":172},259117,"\\ltr{\\frac{6}{5} \\sqrt[5]{x^4}}",{"_8":174,"_46":175},259118,"\\ltr{\\frac{36}{5} \\sqrt[5]{x^4}}",{"_8":177,"_46":178},259119,"\\ltr{\\frac{36}{5} \\sqrt[5]{x^3}}",{"_8":180,"_46":181},259120,"\\ltr{\\frac{6}{5} \\sqrt[5]{x^3}}",[],{"_135":184},[138,185],1563,"أوجد اشتقاق g(x) = 4 $\"\"/$ .",{"_8":188,"_44":45,"_46":189,"_12":190,"_10":191,"_52":168,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":192,"_92":205,"_94":38,"_132":38,"_133":206,"_67":208},69366,"أوجد ميل المماس للدالة \\ltr{f(x)=2\\sqrt[4]{x^3}}.","69366-%D8%A3%D9%88%D8%AC%D8%AF-%D9%85%D9%8A%D9%84-%D8%A7%D9%84%D9%85%D9%85%D8%A7%D8%B3-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7D-%7B2%7D%7D-%7B4%7D%7D%7D-%7B2","أوجد ميل المماس للدالة f(x)=2√(x^3). A)5/2√(x) B)1.5x^1/4 C)15x^4 D)2x^1/2 ",[193,196,199,202],{"_8":194,"_46":195},259113,"\\ltr{\\frac{5}{2}\\sqrt[4]{x}}",{"_8":197,"_46":198},259114,"\\ltr{1.5x^{\\frac{1}{4}}}",{"_8":200,"_46":201},259115,"\\ltr{15x^4}",{"_8":203,"_46":204},259116,"\\ltr{2x^{\\frac{1}{2}}}",[],{"_135":207},[138,185],"أوجد ميل المماس للدالة $\"\"/$ .",{"_8":210,"_44":45,"_46":211,"_12":212,"_10":213,"_52":168,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":214,"_92":227,"_94":38,"_132":38,"_133":228,"_67":230},69348,"ما معادلة ميل المنحنى \\ltr{y = \\sqrt{2x}} عند أي نقطة عليه؟","69348-%D9%85%D8%A7-%D9%85%D8%B9%D8%A7%D8%AF%D9%84%D8%A9-%D9%85%D9%8A%D9%84-%D8%A7%D9%84%D9%85%D9%86%D8%AD%D9%86%D9%89-%7D-%D8%B9%D9%86%D8%AF-%D8%A3%D9%8A-%D9%86%D9%82%D8%B7%D8%A9-%D8%B9%D9%84%D9%8A%D9%87-%7D-%7D%7Bx","ما معادلة ميل المنحنى y = √(2x) عند أي نقطة عليه؟ A)√(2x + 1) B)√(2x)/x C)√(2x) - √(x) D)1/√(2x) ",[215,218,221,224],{"_8":216,"_46":217},259041,"\\ltr{\\sqrt{2x + 1}}",{"_8":219,"_46":220},259042,"\\ltr{\\frac{\\sqrt{2x}}{x}}",{"_8":222,"_46":223},259043,"\\ltr{\\sqrt{2x} - \\sqrt{x}}",{"_8":225,"_46":226},259044,"\\ltr{\\frac{1}{\\sqrt{2x}}}",[],{"_135":229},[138,185],"ما معادلة ميل المنحنى $\"\"/$ عند أي نقطة عليه؟",{"_8":232,"_44":45,"_46":233,"_12":234,"_10":235,"_52":236,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":237,"_92":250,"_94":38,"_132":38,"_133":251,"_67":254},69331,"ما قيمة \\ltr{\\lim_{x \\to 4} \\frac{\\sqrt{2x+1}-\\sqrt{3}}{x-3}} ؟","69331-%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%7D%7Bx-3%7D%7D-%7D-%7D-3-1","ما قيمة lim_x →4 √(2x+1)-√(3)/x-3 ؟ A)3+√(3) B)3-√(3) C)3 D)1 ",59,[238,241,244,247],{"_8":239,"_46":240},258973,"\\ltr{3+\\sqrt{3}}",{"_8":242,"_46":243},258974,"\\ltr{3-\\sqrt{3}}",{"_8":245,"_46":246},258975,"3",{"_8":248,"_46":249},258976,"1",[],{"_135":252},[138,253],1562,"ما قيمة $\"\"/$ ؟",{"_8":256,"_44":45,"_46":257,"_12":258,"_10":259,"_52":260,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":261,"_92":274,"_94":38,"_132":38,"_133":275,"_67":278},68671,"عين مجال الدالة \\ltr{f(x) = \\log \\sqrt{x^2-4}}","68671-%D8%B9%D9%8A%D9%86-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9","عين مجال الدالة f(x) = log√(x^2-4) A){x|x ∈R - [-2,2]} B){x|x ∈R - (-2,2)} C){x|x ∈R - [-2,2)} D){x|x ∈R - (-2,2]} ",55,[262,265,268,271],{"_8":263,"_46":264},256399,"\\ltr{\\{x|x \\in R - [-2,2]\\}}",{"_8":266,"_46":267},256400,"\\ltr{\\{x|x \\in R - (-2,2)\\}}",{"_8":269,"_46":270},256401,"\\ltr{\\{x|x \\in R - [-2,2)\\}}",{"_8":272,"_46":273},256402,"\\ltr{\\{x|x \\in R - (-2,2]\\}}",[],{"_135":276},[138,277],1556,"عين مجال الدالة $\"\"/$ ",{"_8":280,"_44":45,"_46":281,"_12":282,"_10":283,"_52":284,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":285,"_92":298,"_94":38,"_132":38,"_133":299,"_67":301},68620,"أي القيم التالية يُمثل مقدار الإزاحة الرأسية للدالة \\ltr{f(x) = \\sqrt{x-2} + 5}","68620-%D8%A3%D9%8A-%D8%A7%D9%84%D9%82%D9%8A%D9%85-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A%D8%A9-%D9%8A%D9%8F%D9%85%D8%AB%D9%84-%D9%85%D9%82%D8%AF%D8%A7%D8%B1-%D8%A7%D9%84%D8%A5%D8%B2%D8%A7%D8%AD%D8%A9-%D8%A7%D9%84%D8%B1%D8%A3%D8%B3%D9%8A%D8%A9-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%2B-5","أي القيم التالية يُمثل مقدار الإزاحة الرأسية للدالة f(x) = √(x-2) + 5 A)-5 B)-2 C)2 D)5 ",48,[286,289,292,295],{"_8":287,"_46":288},256261,"\\ltr{-5}",{"_8":290,"_46":291},256262,"\\ltr{-2}",{"_8":293,"_46":294},256263,"\\ltr{2}",{"_8":296,"_46":297},256264,"\\ltr{5}",[],{"_135":300},[138],"أي القيم التالية يُمثل مقدار الإزاحة الرأسية للدالة $\"\"/$ ",{"_8":303,"_44":45,"_46":304,"_12":305,"_10":306,"_52":284,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":307,"_92":320,"_94":38,"_132":38,"_133":321,"_67":324},68412,"مجال الدالة \\ltr{f(x) = \\frac{\\sqrt{x+3}}{x-3}} هو:","68412-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7D%7Bx-3%7D%7D-%D9%87%D9%88","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} ",[308,311,314,317],{"_8":309,"_46":310},255495,"\\ltr{\\{x|x \\leq 3\\}}",{"_8":312,"_46":313},255496,"\\ltr{\\{x|x \\geq -3,\\, x \\neq 3\\}}",{"_8":315,"_46":316},255497,"\\ltr{\\{x|x \\leq 3,\\, x \\neq 3\\}}",{"_8":318,"_46":319},255498,"\\ltr{\\{x|x \\geq 3\\}}",[],{"_135":322},[138,323],1550,"مجال الدالة $\"\"/$ هو:",{"_8":326,"_44":45,"_46":327,"_12":328,"_10":329,"_52":53,"_117":-5,"_54":55,"_86":103,"_56":57,"_58":57,"_59":38,"_60":38,"_61":-5,"_62":330,"_92":343,"_94":38,"_132":38,"_133":344,"_67":346},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 ",[331,334,337,340],{"_8":332,"_46":333},255491,"\\ltr{f^{-1}(x) = x^3 + 2;\\ x \\leq 0}",{"_8":335,"_46":336},255492,"\\ltr{f^{-1}(x) = x^2 + 2;\\ x \\geq 0}",{"_8":338,"_46":339},255493,"\\ltr{f^{-1}(x) = x^2 - 2;\\ x \\leq 0}",{"_8":341,"_46":342},255494,"\\ltr{f^{-1}(x) = x^2 - 2;\\ x \\geq 0}",[],{"_135":345},[137,138],"ما الدالة العكسية $\"\"/$ للدالة $\"\"/$ ؟","detailedAnswer",[349,354,356,358],{"_8":65,"_46":66,"_350":38,"_351":352,"_353":-5},"is_correct","question_option_details",[],"has_access",{"_8":70,"_46":71,"_350":38,"_351":355,"_353":-5},[],{"_8":74,"_46":75,"_350":19,"_351":357,"_353":-5},[],{"_8":78,"_46":79,"_350":38,"_351":359,"_353":-5},[],"imagesURLs",[362,363,364,365],"https://tafawaq.sa/watermarked_images/11f14922_68c6_f18b_831c_e7355066c3c5_00.jpg","https://tafawaq.sa/watermarked_images/11f14922_09ea_e2ca_831c_2570aa1c1cc5_00.jpg","https://tafawaq.sa/watermarked_images/11f14924_fcc4_9d9c_831c_39edc275908a_00.jpg","https://tafawaq.sa/watermarked_images/11f14921_e851_5a99_831c_3101c3aaa591_00.jpg","isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

التمثيل البياني الذي يمثل الدالة ...

التمثيل البياني الذي يمثل الدالة $\ltr{f\;(\;x\;)\;=\;\sqrt{x\;+\;1}}$ ...