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JCECE Engineering JCECE Engineering Solved Paper-2014

  • 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 :

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


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