Chapter 7.3, Problem 12ES

The functions of each pair in 12—14 are inverse to each other. For each pair, check that both compositions give the identity function.
12. $F:\text{R}\to \text{R}$ and $F^{-1}:\text{R}\to \text{R}$ are defined by $F\left(x\right)=3x+2$ and $F^{-1}\left(y\right)=\frac{y-2}{3}$ , for every $y\in R$ .