JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Inverse of the function \[y=2x-3\] is [UPSEAT 2002]

    A)                    \[\frac{x+3}{2}\]

    B)            \[\frac{x-3}{2}\]

    C)                    \[\frac{1}{2x-3}\]

    D)            None of these

    Correct Answer: A

    Solution :

               \[y=2x-3\] Þ \[x=\frac{y+3}{2}\]                    Þ \[{{f}^{-1}}(y)=\frac{y+3}{2}\] Þ \[{{f}^{-1}}(x)=\frac{x+3}{2}\].


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