JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If \[f(x)={{x}^{2}}-1\] and \[g(x)=3x+1\], then \[(gof)(x)=\]

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

    B)            \[2{{x}^{2}}-1\]

    C)                    \[3{{x}^{2}}-2\]

    D)            \[2{{x}^{2}}+2\]

    Correct Answer: C

    Solution :

               \[(gof)\,(x)=3\,({{x}^{2}}-1)+1=3{{x}^{2}}-2.\]


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