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BCECE Engineering BCECE Engineering Solved Paper-2007

  • question_answer
    The domain of the function \[f(x)=\frac{{{\cos }^{-1}}x}{[x]}\]is

    A) \[[-1,0)\cup \{1\}\]         

    B)         \[[-1,1]\]            

    C)         \[[-1,1)\]            

    D)         none of these

    Correct Answer: A

    Solution :

                    \[\because \]     \[f(x)=\frac{{{\cos }^{-1}}x}{[x]}\] This function is defined if \[-1\le x\le 1\] But         \[[x]\ne 0\] \[\Rightarrow \]               \[x\notin [0,1]\] \[\therefore \]Domain of \[f(x)=[-1,0)\cup \{1\}.\]


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