Answer
$\color{blue}{\bf{ ( f \text{ }\omicron\text{ g} )(x) = ( g \text{ }\omicron\text{ f} )(x) =x }}$
Work Step by Step
We are given the two functions $\bf{f}$ and $\bf{g}$
$\bf{f(x) = -3x }$ and $\bf{g(x) = -\dfrac{1}{3} x }$
we are asked to show that $\bf{ ( f \text{ }\omicron\text{ g} )(x) = ( g \text{ }\omicron\text{ f} )(x) =x }$
$ ( f \text{ }\omicron\text{ g} )(x)=( g \text{ }\omicron\text{ f} )(x) $
$ -3( - \dfrac{1}{3} x ) = -\dfrac{1}{3} (-3x) $
$ \dfrac{-3}{-3} x = \dfrac{-3}{-3}x $
$ 1 x = 1 x $
$ x = x $
Thus we see that, $\color{blue}{\bf{ ( f \text{ }\omicron\text{ g} )(x) = ( g \text{ }\omicron\text{ f} )(x) =x }}$
