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3}}{\\rm{ + }}\\frac{3}{{x + 3}}{\\rm{ ,}}\\;g\\left( x \\right) = \\frac{5}{{x - 3}}\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eפונקציה (\\f(x))\\ מוגדרת לכל (\\x)\\ כי המכנה שלה המכנה שונה מ- (\\0)\\ לכל (\\x)\\.\u003cbr\u003eפונקציה (\\g(x))\\ מוגדרת לכל (\\x)\\ כי אין בה נעלם במכנה.\u003c/p\u003e","Question":"\u003cp\u003eבאיזה מזוגות הפונקציות הבאות תחום ההגדרה של \\(f\\left( x \\right)\\) ו-\\(g\\left( x \\right)\\) זהה?\u003c/p\u003e"},{"ID":156,"VideoQuestionName":"שאלה 3","VideoQuestionID":127,"VideoID":30135,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":505,"Answer":"\u003cp\u003e\\(f\\left( x \\right) = \\frac{1}{{x - 2}}{\\rm{ + }}\\frac{1}{{x + 1}}{\\rm{ ,}}\\;g\\left( x \\right) = \\frac{{x - 2}}{{x + 1}}\\)\u003c/p\u003e","Type":false},{"ID":506,"Answer":"\u003cp\u003e\\(f\\left( x \\right) = \\frac{1}{{x - 2}}{\\rm{ + }}\\frac{3}{{{x^2}}}{\\rm{ ,}}\\;g\\left( x \\right) = \\frac{{x + 1}}{{x\\left( {x - 2} \\right)}}\\)\u003c/p\u003e","Type":true},{"ID":507,"Answer":"\u003cp\u003e\\(f\\left( x \\right) = \\frac{{5x}}{{{x^2} - 1}}{\\rm{ ,}}\\;g\\left( x \\right) = \\frac{{x + 5}}{{{x^2} + 1}}\\)\u003c/p\u003e","Type":false},{"ID":508,"Answer":"\u003cp\u003e\\(f\\left( x \\right) = \\frac{1}{x}{\\rm{ ,}}\\;g\\left( x \\right) = \\sqrt x \\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(f\\left( x \\right) = \\frac{1}{{x - 2}}{\\rm{ + }}\\frac{3}{{{x^2}}}{\\rm{ ,}}\\;g\\left( x \\right) = \\frac{{x + 1}}{{x\\left( {x - 2} \\right)}}\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(f\\left( x \\right) = \\frac{1}{{x - 2}}{\\rm{ + }}\\frac{1}{{x + 1}}{\\rm{ ,}}\\;g\\left( x \\right) = \\frac{{x - 2}}{{x + 1}}\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(f\\left( x \\right) = \\frac{{5x}}{{{x^2} - 1}}{\\rm{ ,}}\\;g\\left( x \\right) = \\frac{{x + 5}}{{{x^2} + 1}}\\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(f\\left( x \\right) = \\frac{1}{x}{\\rm{ ,}}\\;g\\left( x \\right) = \\sqrt x \\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eהפונקציות (\\f(x))\\ ו- (\\g(x))\\ מוגדרות לכל (\\x)\\ ששונה מ- (\\0)\\ ומ- (\\2)\\.\u003c/p\u003e","Question":"\u003cp\u003eבאיזה מזוגות הפונקציות הבאות תחום ההגדרה של \\(f\\left( x \\right)\\) ו-\\(g\\left( x \\right)\\) זהה?\u003c/p\u003e"},{"ID":157,"VideoQuestionName":"שאלה 4","VideoQuestionID":128,"VideoID":30135,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":509,"Answer":"\u003cp\u003e\\(y = \\frac{{3x}}{{{x^3} + 1}}\\)\u003c/p\u003e","Type":false},{"ID":510,"Answer":"\u003cp\u003e\\(y = \\sqrt {{x^3} + 1} \\)\u003c/p\u003e","Type":false},{"ID":511,"Answer":"\u003cp\u003e\\(y = \\left( {x - 3} \\right)\\sqrt {{x^2}} \\)\u003c/p\u003e","Type":true},{"ID":512,"Answer":"\u003cp\u003e\\(y = {x^2}\\sqrt {x - 3} \\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(y = \\left( {x - 3} \\right)\\sqrt {{x^2}} \\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(y = \\frac{{3x}}{{{x^3} + 1}}\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(y = \\sqrt {{x^3} + 1} \\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(y = {x^2}\\sqrt {x - 3} \\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eפונקציה שיש בה נעלם תחת שורש מסדר זוגי מוגדרת לכל (\\x)\\ שעבורו תוכן השורש אי שלילי.\u003c/p\u003e","Question":"\u003cp\u003eאיזו מהפונקציות הבאות מוגדרת לכל x?\u003c/p\u003e"},{"ID":158,"VideoQuestionName":"שאלה 5","VideoQuestionID":129,"VideoID":30135,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":513,"Answer":"\u003cp\u003e\\(y = \\frac{{3x}}{{x - 3}}\\)\u003c/p\u003e","Type":false},{"ID":514,"Answer":"\u003cp\u003e\\(y = \\sqrt {x - 3} \\)\u003c/p\u003e","Type":false},{"ID":515,"Answer":"\u003cp\u003e\\(y = \\frac{{x - 3}}{{\\sqrt x }}\\)\u003c/p\u003e","Type":false},{"ID":516,"Answer":"\u003cp\u003e\\(y = \\frac{{3x}}{{\\sqrt {x - 3} }}\\)\u003c/p\u003e","Type":true}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(y = \\frac{{3x}}{{\\sqrt {x - 3} }}\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(y = \\frac{{3x}}{{x - 3}}\\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(y = \\sqrt {x - 3} \\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(y = \\frac{{x - 3}}{{\\sqrt x }}\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eפונקציה שהמכנה שלה הוא שורש מסדר זוגי עם נעלם תחת השורש מוגדרת לכל (\\x)\\ שעבורו תוכן השורש חיובי.\u003c/p\u003e","Question":"\u003cp\u003eתחום ההגדרה של איזו פונקציה הוא: \u0026nbsp;\\(x \u0026gt; 3\\)?\u003c/p\u003e"},{"ID":159,"VideoQuestionName":"שאלה 6","VideoQuestionID":130,"VideoID":30135,"Type":"middle","TimeStampString":"00:00:01","TimeStamp":1,"OrderNumber":0,"VideoName":null,"Active":true,"VideoQuestionAnswersItems":[{"ID":517,"Answer":"\u003cp\u003e\\(y = \\sqrt {{x^2} - 1} \\)\u003c/p\u003e","Type":false},{"ID":518,"Answer":"\u003cp\u003e\\(y = 2x\\sqrt {x - 1} \\)\u003c/p\u003e","Type":false},{"ID":519,"Answer":"\u003cp\u003e\\(y = \\frac{{\\sqrt x }}{{\\sqrt {x - 1} }}\\)\u003c/p\u003e","Type":true},{"ID":520,"Answer":"\u003cp\u003e\\(y = \\frac{{\\sqrt {x - 1} }}{x}\\)\u003c/p\u003e","Type":false}],"TopicName":null,"CorrectAnswer":"\u003cp\u003e\\(y = \\frac{{\\sqrt x }}{{\\sqrt {x - 1} }}\\)\u003c/p\u003e","Answer1":"\u003cp\u003e\\(y = \\sqrt {{x^2} - 1} \\)\u003c/p\u003e","Answer2":"\u003cp\u003e\\(y = 2x\\sqrt {x - 1} \\)\u003c/p\u003e","Answer3":"\u003cp\u003e\\(y = \\frac{{\\sqrt {x - 1} }}{x}\\)\u003c/p\u003e","Answer4":null,"Explanation":"\u003cp\u003eפונקציה שהמכנה שלה הוא שורש מסדר זוגי עם נעלם תחת השורש מוגדרת לכל (\\x)\\ שעבורו תוכן השורש חיובי.\u003cbr\u003eופונקציה שיש בה נעלם תחת שורש מסדר זוגי מוגדרת לכל (\\x)\\ שעבורו תוכן השורש אי שלילי.\u003c/p\u003e","Question":"\u003cp\u003eנתונות 4 פונקציות.\u003cbr\u003eמצא את הפונקציה אשר אינה מוגדרת עבור: \u0026nbsp;\\(x \\ge 1\\):\u003c/p\u003e"}],[],[]],[[],[],[]],[[],[],[],[],[],[],[]],[[],[],[],[],[],[],[],[],[]]]