Answer
$\color{blue}{\bf{ -1 }}$
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 $\bf{ ( f \text{ }\omicron\text{ g} )(2) }$
$( f \text{ }\omicron\text{ g} )(x) = 2( -x + 3) - 3 $
$( f \text{ }\omicron\text{ g} )(2) = 2( -2 + 3) - 3 $
$-4+6-3$
$\color{blue}{\bf{ -1 }}$