Answer
$\color{blue}{\bf{ 10 }}$
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 $\bf{ ( g \text{ }\omicron\text{ f} )( -2 ) }$
$( g \text{ }\omicron\text{ f} )(x) = -(2x - 3) + 3 $
$( g \text{ }\omicron\text{ f} )(x) = -(2(-2) - 3) + 3 $
$ -(-4 - 3) + 3 $
$-(-7)+3$
$7+3$
$\color{blue}{\bf{ 10 }}$
