JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If \[f(x)={{x}^{2}}+1\],then \[fof(x)\] is equal to

    A)                    \[{{x}^{2}}+1\]

    B)            \[{{x}^{2}}+2x+2\]

    C)                    \[{{x}^{4}}+2{{x}^{2}}+2\]

    D)            None of these

    Correct Answer: C

    Solution :

               \[fof\,(x)=f\{f(x)\}={{({{x}^{2}}+1)}^{2}}+1={{x}^{4}}+2{{x}^{2}}+2.\]


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