Chapter 1.3, Problem 28E

(a)

To determine

To find: The inverse of $f\left(x\right)=\left(\frac{2}{\left(x^2+1\right)}\right)$ for $x\ge 0$ and express in the form of $y=f^{-1}\left(x\right)$.

(b)

To determine

To verify: The relationship between $f\left(f^{-1}\left(x\right)\right)=x\text{and }{f}^{-1}f\left(x\right)=x$.