Answer
$f(-1)-g(3)=-17$
Work Step by Step
Substituting $
x=-1
$ in the given function, $
f(x)=2x-5
,$ then
\begin{align*}\require{cancel}
f(-1)&=2(-1)-5
\\&=
-2-5
\\&=
-7
\end{align*}
Substituting $
x=3
$ in the given function, $
g(x)=|-3x-1|
,$ then
\begin{align*}\require{cancel}
g(3)&=|-3(3)-1|
\\&=
|-9-1|
\\&=
|-10|
\\&=
10
\end{align*}
Using the results above, then
\begin{align*}
f(-1)-g(3)&=-7-10
\\&=
-17
\end{align*}
Hence $
f(-1)-g(3)=-17
.$
