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