Chapter 8.4, Problem 31ES

The function in Exercises 25−34 are all on-to-one. For each function,

a. Find an equation for $f^{-1}\left(x\right)$, the inverse function.

b. Verify that your equation is correct by showing that $f\left(f^{-1}\left(x\right)\right)=x$and $f^{-1}\left(f\left(x\right)\right)=x$.

31. $f\left(x\right)=\frac{1}{x}$