Textbook Problem

For Problems $31-40$, find the inverse of the given function by using the process illustrated in Examples $3$ and $4$ of this section, and then verify that $\left(f\circ f^{-1}\right)\left(x\right)=x$ and $\left(f^{-1}\circ f\right)\left(x\right)=x$ (Objective 4)

$f\left(x\right)=-6x+2$