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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    The domain of the function\[\sqrt{{{x}^{2}}-5x+6}+\sqrt{2x+8-{{x}^{2}}}\] is

    A) \[[2,3]\]

    B)        \[[-2,\,\,4]\]

    C) \[[-2,2]\cup [3,4]\]

    D)        \[[-2,1]\cup [2,4]\]

    Correct Answer: C

    Solution :

    [c] \[f(x)=\sqrt{(x-2)(x-3)}+\sqrt{-(x-4)(x+2)}\] The first part is real outside (2, 3) and the second is real [-2, 4] so that the domain is \[[-2,2]\cup [3,4].\]


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