Answer
$f(1)+g(2)=4$
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
\\&=
-3
\end{align*}
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*}
Using the results above, then
\begin{align*}
f(1)+g(2)&=-3+7
\\&=
4
\end{align*}
Hence $
f(1)+g(2)=4
.$
