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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If \[f(x)=\frac{2x+1}{3x-2}\], then \[(fof)(2)\] is equal to            [Kerala (Engg.) 2002]

    A)                    1

    B)            3

    C)                    4

    D)            2

    Correct Answer: D

    Solution :

               Here \[f(2)=\frac{5}{4}\]                    Hence \[(fof)(2)=f(f(2))=f\left( \frac{5}{4} \right)=\frac{2\times \frac{5}{4}+1}{3\times \frac{5}{4}-2}=2\].


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