Chapter 7.1, Problem 16ES

Let F and G be functions from the set of all real numbers to itself. Define new functions
$F-G:\text{R}\to \text{R}$ and $G\text{-}F:\text{R}\to \text{R}$ as follows: For every $x\in \text{R}$ ,
$\begin{array}{l}\left(F-G\right)\left(x\right)=F\left(x\right)-G\left(x\right)\\ \left(G-F\right)\left(x\right)=G\left(x\right)-F\left(x\right)\end{array}$
Does $F-G=G-F$ ? Explain.