JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relation and Functions-II

  • question_answer
    Let \[f:(4,6)\to (6,8)\] be a function defined by \[f(x)=x+\left[ \frac{x}{2} \right]\] (where [.] denotes the greatest integer function), then \[{{f}^{-1}}(x)\] is equal to

    A) \[x-\left[ \frac{x}{2} \right]\]

    B) \[-x-2\]

    C) \[x-2\]

    D) \[\frac{1}{x+\left[ \frac{x}{2} \right]}\]

    Correct Answer: C

    Solution :

    [c] Since \[f:(4,6)\to (6,8)\Rightarrow f(x)=x+2\] \[\therefore {{f}^{-1}}(x)=x-2\]


You need to login to perform this action.
You will be redirected in 3 sec spinner