JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Let \[f:(2,\,3)\to (0,\,1)\] be defined by \[f(x)=x-[x]\] then \[{{f}^{-1}}(x)\] equals [Orissa JEE 2005]

    A)            \[x-2\]

    B)            \[x+1\]

    C)            \[x-1\]

    D)            \[x+2\]

    Correct Answer: D

    Solution :

               Given \[f:(2,\,3)\to (0,\,1)\]and \[f(x)=x-[x]\]            \\[f(x)=y=x-2\]Þ\[x=y+2={{f}^{-1}}(y)\Rightarrow {{f}^{-1}}(x)=x+2\].


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