2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Functions

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

  • question_answer
    If \[f:R\to R,g:R\to R\] and \[h:R\to R\]are such that \[f(x)={{x}^{2}},g(x)=tanx\]and \[h(x)=logx,\]then the value of \[(ho(gof))(x)ifx=\sqrt{\frac{\pi }{4}}\] will be

    A) 0

    B) 1

    C) -1

    D) \[\pi \]

    Correct Answer: A

    Solution :

    [a] \[(ho(gof))(x)=h\{g\{f(x)\}\}\] \[=h\{tan{{x}^{2}}\}=log\{tan{{x}^{2}}\}\] \[\therefore Atx=\sqrt{\frac{\pi }{4}}\Rightarrow (ho(gof))(x)=logtan\frac{\pi }{4}\] \[=\log 1=0\]


You need to login to perform this action.
You will be redirected in 3 sec spinner