JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    The domain of \[{{\sin }^{-1}}({{\log }_{3}}x)\] is [Kerala (Engg.) 2005]

    A)            [?1, 1]

    B)            [0, 1]

    C)            [0, \[\infty \]]

    D)            R

    E)            [1/3, 3]

    Correct Answer: E

    Solution :

               \[-1\le {{\log }_{3}}x\le 1\]; \[{{3}^{-1}}\le x\le 3\] Þ \[\frac{1}{3}\le x\le 3\]                    \ Domain of function \[=\left[ \frac{1}{3},\,3 \right]\].


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