JEE Previous Year Question

For $x\text{∈}\left(0\text{,}\frac{3}{2}\right)$, let $f\left(x\right)=\sqrt{x}\text{,}g\left(x\right)=\text{tan}x$ and $h\left(x\right)=\frac{1-x^2}{1+x^2}$. If $\phi \left(x\right)=\left(\left(\text{hof}\right)\text{og}\right)\left(x\right)\text{,}$ then $\phi \left(\frac{\pi }{3}\right)$ is equal to :

Topic: JEE PYQ

Answer: B. Full step-by-step solution below.