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JEE Main & Advanced Mathematics Functions Question Bank Numerical Value Type Questions - Relations and Functions-II

  • question_answer
    For \[x\in \left( 0,\frac{3}{2} \right),\] let \[f(x)=,\,g(x)=tan\,\,x\] and \[h(x)=\frac{1-{{x}^{2}}}{1+{{x}^{2}}}.\] If \[\phi \] \[(x)\,\left( \frac{\pi }{3} \right)=((hof)og)\,\,\,\,(x).\] If \[\phi \] is equal to \[\tan \frac{p\pi }{q},\] then \[p+q\] is

    Answer:

    23


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