Answer
$g(2)-f(0)=12$
Work Step by Step
Substituting $
x=2
$ in the given function, $
g(x)=|-3x-1|
,$ then
\begin{align*}\require{cancel}
g(2)&=|-3(2)-1|
\\&=
|-6-1|
\\&=
|-7|
\\&=
7
\end{align*}
Substituting $
x=0
$ in the given function, $
f(x)=2x-5
,$ then
\begin{align*}\require{cancel}
f(0)&=2(0)-5
\\&=
0-5
\\&=
-5
\end{align*}
Using the results above, then
\begin{align*}
g(2)-f(0)&=7-(-5)
\\&=
7+5
\\&=
12
\end{align*}
Hence $
g(2)-f(0)=12
.$
