Textbook Problem

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