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