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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    If\[x\ne 1\]and\[f(x)=\frac{x+1}{x-1}\]is a real function, then \[fff(2)\]is:

    A)  1                            

    B)         2

    C)  3                            

    D)         4

    E)  none of these

    Correct Answer: C

    Solution :

    \[\because \]\[f(x)=\frac{x+1}{x-1}\] \[\therefore \] \[f(2)=\frac{2+1}{2-1}=3\] \[f\{f(2)\}=f(3)=\frac{3+1}{3-1}=\frac{4}{2}=2\] and \[f[f\{f(2)\}]=f(2)=\frac{2+1}{2-1}=3\]


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