JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If \[y=f(x)=\frac{x+2}{x-1}\], then \[x=\] [IIT 1984]

    A)                    \[f(y)\]                            

    B)            \[2f(y)\]

    C)                    \[\frac{1}{f(y)}\]

    D)            None of these

    Correct Answer: A

    Solution :

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


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