CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    If\[f(x)=\frac{2x+1}{3x-2},\]then\[(f\,\,o\,\,f)(2)\]is equal to:

    A)  1                            

    B)                         3

    C)                         4                                            

    D)                         2

    E)                         none of these

    Correct Answer: D

    Solution :

    \[\because \]     \[f(x)=\frac{2x+1}{3x-2}\] \[\therefore \]  \[f(2)=\frac{4+1}{4}=\frac{5}{4}\]                 \[fof(2)=f\{f(2)\}=f\left( \frac{5}{4} \right)\]                 \[=\frac{2\left( \frac{5}{4} \right)+1}{3\left( \frac{5}{4}-2 \right)}=\frac{\frac{5+2}{2}}{\frac{15-8}{4}}=\frac{14}{7}=2\]


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