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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relation and Functions-II

  • question_answer
    If \[f(x)=\left| x-2 \right|\] and \[g(x)=f[f(x)],\] Then for \[x>20,g'(x)\] is equal to

    A) \[-1\]

    B) 1

    C) 2

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[g(x)=f[f(x)]=f[\left| x-2 \right|]=f(x-2)\]as \[x>20\] \[=\left| x-2-2 \right|=x-4\therefore g'(x)=1.\]


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