Answer
$\color{blue}{\bf{ -2 }}$
Work Step by Step
We are given the two functions $\bf{f}$ and $\bf{g}$
$\bf{f(x) = 2x - 3 }$ and $\bf{g(x) = -x + 3 }$
We are asked to find $\bf{ ( g \text{ }\omicron\text{ g} )( -2 ) }$
$( g \text{ }\omicron\text{ g} )(x) = -( -x + 3) + 3 $
$( g \text{ }\omicron\text{ g} )(-2) = -( -(-2) + 3) + 3 $
$-( 2 + 3) + 3 $
$-5 + 3 $
$\color{blue}{\bf{ -2 }}$