JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Which of the following function is inverse function            [AMU 2000]

    A)            \[f(x)=\frac{1}{x-1}\]

    B)            \[f(x)={{x}^{2}}\] for all\[x\]

    C)            \[f(x)={{x}^{2}}\], \[x\ge 0\]

    D)            \[f(x)={{x}^{2}},\ x\le 0\]

    Correct Answer: A

    Solution :

               For finding inverse of any function, function should be bijective. Since \[f(x)=\frac{1}{x-1}\] is bijective function.


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