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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Domain of function \[f(x)={{\sin }^{-1}}5x\] is

    A)            \[\left( -\frac{1}{5},\ \frac{1}{5} \right)\]

    B)            \[\left[ -\frac{1}{5},\ \frac{1}{5} \right]\]

    C)            R

    D)            \[\left( 0,\ \frac{1}{5} \right)\]

    Correct Answer: B

    Solution :

               \[-1\le 5x\le 1\,\,\Rightarrow \,\,\frac{-1}{5}\le x\le \frac{1}{5}\]. Hence domain is \[\left[ \frac{-1}{5},\,\,\frac{1}{5} \right]\]. 


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