JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Domain of the function \[\log |{{x}^{2}}-9|\] is

    A)            R

    B)            \[R-[-3,\ 3]\]

    C)            \[R-\{-3,\ 3\}\]

    D)            None of these

    Correct Answer: C

    Solution :

               For \[x=-3,\,\,3,\,\,\,|\,\,{{x}^{2}}-9\,\,|\,=0\]            Therefore \[\log \,|{{x}^{2}}-9|\,\]does not exist at \[x=-\,3,\,\,3.\]                    Hence domain of function is \[R-\left\{ -\,3,\,\,3 \right\}.\]


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