[{"_1":2,"_353":-5,"_354":-5},"loaderData",{"_3":4,"_43":44,"_352":-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,"_114":115,"_333":334,"_346":347,"_348":42,"_349":47,"_350":351},"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,"_85":86,"_91":92,"_96":97,"_98":42,"_99":-5,"_100":101,"_102":103,"_104":105,"_106":107,"_108":19,"_71":109,"_110":111,"_112":113},72044,"type","MULTIPLE_CHOICE","text","مجال الدالة \\ltr{\\frac{x+1}{x^2-3x+2}} هو؟","مجال الدالة x+1/x^2-3x+2 هو؟ A){x|x ≠-1, x ≠-2, x ∈R} B){x|x ≠-1, x ≠2, x ∈R} C){x|x ≠1, x ≠-2, x ∈R} D){x|x ≠1, x ≠2, x ∈R} ","72044-مجال-الدالة-{x^2-3x+2}}-هو","order",197,"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},268802,"\\ltr{\\{x|x \\neq -1, x \\neq -2, x \\in R\\}}","renderedText"," $\"\"/$ ",{"_8":74,"_50":75,"_71":76},268803,"\\ltr{\\{x|x \\neq -1, x \\neq 2, x \\in R\\}}"," $\"\"/$ ",{"_8":78,"_50":79,"_71":80},268804,"\\ltr{\\{x|x \\neq 1, x \\neq -2, x \\in R\\}}"," $\"\"/$ ",{"_8":82,"_50":83,"_71":84},268805,"\\ltr{\\{x|x \\neq 1, x \\neq 2, x \\in R\\}}"," $\"\"/$ ","previous_question",{"_8":87,"_48":49,"_50":88,"_12":89,"_10":-5,"_60":61,"_62":61,"_63":-5,"_64":-5,"_56":-5,"_90":-5,"_58":-5,"_65":-5},72043,"نقاط عدم الاتصال للدالة \\ltr{f(x)=\\frac{5}{x^2-4x+3}} هي:","72043-نقاط-عدم-الاتصال-للدالة-{x^2-4x+3}}-هي","section_id","next_question",{"_8":93,"_48":49,"_50":94,"_12":95,"_10":-5,"_60":61,"_62":61,"_63":-5,"_64":-5,"_56":-5,"_90":-5,"_58":-5,"_65":-5},72045,"أوجد العبارة المكافئة للكسر الآتي: \\ltr{\\frac{(x^2-y^2)(3z-x)}{(x-y)^2(x-3z)}}","72045-أوجد-العبارة-المكافئة-للكسر-الآتي-{(x-y)^2(x-3z)}}-{x+y}}-{(x-y)^2}}-{(x-y)^2","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 $\"\"/$ هو؟","encodedPrevQuestionSlug","72043-%D9%86%D9%82%D8%A7%D8%B7-%D8%B9%D8%AF%D9%85-%D8%A7%D9%84%D8%A7%D8%AA%D8%B5%D8%A7%D9%84-%D9%84%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7Bx%5E2-4x%2B3%7D%7D-%D9%87%D9%8A","encodedNextQuestionSlug","72045-%D8%A3%D9%88%D8%AC%D8%AF-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-%D8%A7%D9%84%D9%85%D9%83%D8%A7%D9%81%D8%A6%D8%A9-%D9%84%D9%84%D9%83%D8%B3%D8%B1-%D8%A7%D9%84%D8%A2%D8%AA%D9%8A-%7B(x-y)%5E2(x-3z)%7D%7D-%7Bx%2By%7D%7D-%7B(x-y)%5E2%7D%7D-%7B(x-y)%5E2","relatedQuestions",[116,140,163,185,204,227,248,269,291,311],{"_8":87,"_48":49,"_50":88,"_12":111,"_10":117,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":119,"_96":132,"_98":42,"_133":42,"_134":135,"_71":139},"نقاط عدم الاتصال للدالة f(x)=5/x^2-4x+3 هي: A)-1 , 3 B)1 , -3 C)1 , 3 D)-1 , -3 ","unit_name",[120,123,126,129],{"_8":121,"_50":122},268798,"\\ltr{-1\\;,\\;3}",{"_8":124,"_50":125},268799,"\\ltr{1\\;,\\;-3}",{"_8":127,"_50":128},268800,"\\ltr{1\\;,\\;3}",{"_8":130,"_50":131},268801,"\\ltr{-1\\;,\\;-3}",[],"is_all_explanations_deleted","contents_tags_ids",{"_136":137},"ids",[138],1550,"نقاط عدم الاتصال للدالة $\"\"/$ هي:",{"_8":141,"_48":49,"_50":142,"_12":143,"_10":144,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":145,"_96":158,"_98":42,"_133":42,"_134":159,"_71":162},72042,"إذا كانت y تتغير عكسيًا مع x، وكانت \\ltr{x = 5} عندما \\ltr{y = 6}؛ فما قيمة x عندما تكون \\ltr{y = 10}؟","72042-%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%B9%D9%83%D8%B3%D9%8A%D9%8B%D8%A7-%D9%85%D8%B9-x-%D9%88%D9%83%D8%A7%D9%86%D8%AA-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-%D8%9B-%D9%81%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-x-%D8%B9%D9%86%D8%AF%D9%85%D8%A7-%D8%AA%D9%83%D9%88%D9%86-1-2-3-4","إذا كانت y تتغير عكسيًا مع x، وكانت x = 5 عندما y = 6؛ فما قيمة x عندما تكون y = 10؟ A)1 B)2 C)3 D)4 ",[146,149,152,155],{"_8":147,"_50":148},268794,"1",{"_8":150,"_50":151},268795,"2",{"_8":153,"_50":154},268796,"3",{"_8":156,"_50":157},268797,"4",[],{"_136":160},[161,138],1542,"إذا كانت y تتغير عكسيًا مع x، وكانت $\"\"/$ عندما $\"\"/$ ؛ فما قيمة x عندما تكون $\"\"/$ ؟",{"_8":164,"_48":49,"_50":165,"_12":166,"_10":167,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":168,"_96":181,"_98":42,"_133":42,"_134":182,"_71":184},72041,"ما قيمة x في التناسب \\ltr{\\frac{4x+3}{5} = \\frac{2x+1}{3}}","72041-%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-x-%D9%81%D9%8A-%D8%A7%D9%84%D8%AA%D9%86%D8%A7%D8%B3%D8%A8-%7B5%7D-=-%7B3%7D%7D-5-2-3-4","ما قيمة x في التناسب 4x+3/5 = 2x+1/3 A)-5 B)-2 C)-3 D)-4 ",[169,172,175,178],{"_8":170,"_50":171},268790,"-5",{"_8":173,"_50":174},268791,"-2",{"_8":176,"_50":177},268792,"-3",{"_8":179,"_50":180},268793,"-4",[],{"_136":183},[161],"ما قيمة x في التناسب $\"\"/$ ",{"_8":186,"_48":49,"_50":187,"_12":188,"_10":189,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":190,"_96":200,"_98":42,"_133":42,"_134":201,"_71":203},72040,"ما قيمة \\ltr{x} التي تجعل الدالة \\ltr{f(x)=\\frac{4x}{2x-6}} غير معرفة؟","72040-%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%D8%A7%D9%84%D8%AA%D9%8A-%D8%AA%D8%AC%D8%B9%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7B2x-6%7D%7D-%D8%BA%D9%8A%D8%B1-%D9%85%D8%B9%D8%B1%D9%81%D8%A9-3-0-2-3","ما قيمة x التي تجعل الدالة f(x)=4x/2x-6 غير معرفة؟ A)-3 B)0 C)2 D)3 ",[191,193,196,198],{"_8":192,"_50":177},268786,{"_8":194,"_50":195},268787,"0",{"_8":197,"_50":151},268788,{"_8":199,"_50":154},268789,[],{"_136":202},[138],"ما قيمة $\"\"/$ التي تجعل الدالة $\"\"/$ غير معرفة؟",{"_8":205,"_48":49,"_50":206,"_12":207,"_10":208,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":209,"_96":222,"_98":42,"_133":42,"_134":223,"_71":226},72039,"ما أبسط صورة للمقدار \\ltr{\\frac{(x-2)(x-3)^2}{(4x-12)(x^2+x-6)}}؟","72039-%D9%85%D8%A7-%D8%A3%D8%A8%D8%B3%D8%B7-%D8%B5%D9%88%D8%B1%D8%A9-%D9%84%D9%84%D9%85%D9%82%D8%AF%D8%A7%D8%B1-%7B(4x-12)(x%5E2%2Bx-6)%7D%7D-%7B4(x%2B3)%7D%7D-%7B4(x%2B3)%7D%7D-%7B4(x-3)%7D%7D-%7B4x-12","ما أبسط صورة للمقدار (x-2)(x-3)^2/(4x-12)(x^2+x-6)؟ A)x-3/4(x+3) B)x-2/4(x+3) C)x-3/4(x-3) D)x-3/4x-12 ",[210,213,216,219],{"_8":211,"_50":212},268782,"\\ltr{\\frac{x-3}{4(x+3)}}",{"_8":214,"_50":215},268783,"\\ltr{\\frac{x-2}{4(x+3)}}",{"_8":217,"_50":218},268784,"\\ltr{\\frac{x-3}{4(x-3)}}",{"_8":220,"_50":221},268785,"\\ltr{\\frac{x-3}{4x-12}}",[],{"_136":224},[225,138],1547,"ما أبسط صورة للمقدار $\"\"/$ ؟",{"_8":228,"_48":49,"_50":229,"_12":230,"_10":231,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":232,"_96":245,"_98":42,"_133":42,"_134":246,"_71":229},72038,"أي التالي لا يمثل عبارة نسبية؟","72038-%D8%A3%D9%8A-%D8%A7%D9%84%D8%AA%D8%A7%D9%84%D9%8A-%D9%84%D8%A7-%D9%8A%D9%85%D8%AB%D9%84-%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-%D9%86%D8%B3%D8%A8%D9%8A%D8%A9-%7Bx%2B1%7D%7D-%7By-x%7D%7D-%2B7%7D%7B5x%5E3%2B1%7D%7D-%2B1%7D%7Bx%2B2","أي التالي لا يمثل عبارة نسبية؟ A)-x/x+1 B)x^5-y^3/y-x C)√(x)+7/5x^3+1 D)√(5x)+1/x+2 ",[233,236,239,242],{"_8":234,"_50":235},268778,"\\ltr{\\frac{-x}{x+1}}",{"_8":237,"_50":238},268779,"\\ltr{\\frac{x^5-y^3}{y-x}}",{"_8":240,"_50":241},268780,"\\ltr{\\frac{\\sqrt{x}+7}{5x^3+1}}",{"_8":243,"_50":244},268781,"\\ltr{\\frac{\\sqrt{5x}+1}{x+2}}",[],{"_136":247},[138],{"_8":249,"_48":49,"_50":250,"_12":251,"_10":252,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":253,"_96":265,"_98":42,"_133":42,"_134":266,"_71":268},72037,"تبسيط العبارة \\ltr{\\frac{x^{2}+y^{2}}{x^{2}-y^{2}}+\\frac{y}{x+y}-\\frac{x}{x-y}} هو ..","72037-%D8%AA%D8%A8%D8%B3%D9%8A%D8%B7-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-%2By%5E%7B2%7D%7D%7Bx%5E%7B2%7D-y%5E%7B2%7D%7D%2B%7Bx%2By%7D-%7Bx-y%7D%7D-%D9%87%D9%88-0-%7D-%2By%5E%7B2%7D%7D%7Bx%5E%7B2%7D-y%5E%7B2","تبسيط العبارة x^2+y^2/x^2-y^2+y/x+y-x/x-y هو .. A)0 B)2x^2 C)1 + 1/x - 1/y D)x^2+y^2/x^2-y^2 ",[254,256,259,262],{"_8":255,"_50":195},268774,{"_8":257,"_50":258},268775,"\\ltr{2x^{2}}",{"_8":260,"_50":261},268776,"\\ltr{1\\;+\\;\\frac1x\\;-\\;\\frac1y}",{"_8":263,"_50":264},268777,"\\ltr{\\frac{x^{2}+y^{2}}{x^{2}-y^{2}}}",[],{"_136":267},[138],"تبسيط العبارة $\"\"/$ هو ..",{"_8":270,"_48":49,"_50":271,"_12":272,"_10":273,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":274,"_96":287,"_98":42,"_133":42,"_134":288,"_71":290},72036,"مجال الدالة \\ltr{f(x)=\\frac{3-x}{x^2-5x}} هو..","72036-%D9%85%D8%AC%D8%A7%D9%84-%D8%A7%D9%84%D8%AF%D8%A7%D9%84%D8%A9-%7Bx%5E2-5x%7D%7D-%D9%87%D9%88","مجال الدالة f(x)=3-x/x^2-5x هو.. A){x|x∈R} B){x|x ≠0, x∈R} C){x|x≠5, x∈R} D){x|x≠5, x≠0, x∈R} ",[275,278,281,284],{"_8":276,"_50":277},268770,"\\ltr{\\{x|x\\in R\\}}",{"_8":279,"_50":280},268771,"\\ltr{\\{x|x \\neq 0, x\\in R\\}}",{"_8":282,"_50":283},268772,"\\ltr{\\{x|x\\neq 5, x\\in R\\}}",{"_8":285,"_50":286},268773,"\\ltr{\\{x|x\\neq 5, x\\neq 0, x\\in R\\}}",[],{"_136":289},[161,138],"مجال الدالة $\"\"/$ هو..",{"_8":292,"_48":49,"_50":293,"_12":294,"_10":295,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":296,"_96":307,"_98":42,"_133":42,"_134":308,"_71":310},72034,"ما قيمة المقدار \\ltr{\\sqrt[4]4\\;.\\;\\sqrt8} ؟","72034-%D9%85%D8%A7-%D9%82%D9%8A%D9%85%D8%A9-%D8%A7%D9%84%D9%85%D9%82%D8%AF%D8%A7%D8%B1-2-4-6-8","ما قيمة المقدار √(4) . √(8) ؟ A)2 B)4 C)6 D)8 ",[297,299,301,304],{"_8":298,"_50":151},268762,{"_8":300,"_50":157},268763,{"_8":302,"_50":303},268764,"6",{"_8":305,"_50":306},268765,"8",[],{"_136":309},[161],"ما قيمة المقدار $\"\"/$ ؟",{"_8":312,"_48":49,"_50":313,"_12":314,"_10":315,"_56":57,"_118":-5,"_58":59,"_90":107,"_60":61,"_62":61,"_63":42,"_64":42,"_65":-5,"_66":316,"_96":329,"_98":42,"_133":42,"_134":330,"_71":332},72033,"تبسيط العبارة \\ltr{\\sqrt[7]{x^{14}y^7}} هو ...","72033-%D8%AA%D8%A8%D8%B3%D9%8A%D8%B7-%D8%A7%D9%84%D8%B9%D8%A8%D8%A7%D8%B1%D8%A9-y%5E7%7D%7D-%D9%87%D9%88","تبسيط العبارة √(x^14y^7) هو ... A)x^2y^2 B)x^2y C)xy D)xy^2 ",[317,320,323,326],{"_8":318,"_50":319},268758,"\\ltr{x^2y^2}",{"_8":321,"_50":322},268759,"\\ltr{x^2y}",{"_8":324,"_50":325},268760,"\\ltr{xy}",{"_8":327,"_50":328},268761,"\\ltr{xy^2}",[],{"_136":331},[161],"تبسيط العبارة $\"\"/$ هو ...","detailedAnswer",[335,340,342,344],{"_8":69,"_50":70,"_336":42,"_337":338,"_339":-5},"is_correct","question_option_details",[],"has_access",{"_8":74,"_50":75,"_336":42,"_337":341,"_339":-5},[],{"_8":78,"_50":79,"_336":42,"_337":343,"_339":-5},[],{"_8":82,"_50":83,"_336":19,"_337":345,"_339":-5},[],"imagesURLs",[],"isMobile","questionId","streamId",1,"routes/_visitor","actionData","errors"]

مجال الدالة هو؟

مجال الدالة $\ltr{\frac{x+1}{x^2-3x+2}}$ هو؟