JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If from \[R\to R\], \[f(x)={{(x+1)}^{2}}\], \[g(x)={{x}^{2}}+1\], then \[(fog)(-3)\] equals [RPET 1999]

    A)                    121

    B)            112

    C)                    211

    D)            None of these

    Correct Answer: A

    Solution :

               \[f(x)={{(1+x)}^{2}}\] and \[g(x)={{x}^{2}}+1\]            and \[fog(-3)\] \[=f[g(-3)]=f[9+1]=f[10]\]            Þ \[fog(-3)=f[10]={{[11]}^{2}}=121\].


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