Answer
Domain of $f+g$: $[-1,4]$
Work Step by Step
We know that the domain of a function consists of all the values that $x$ can take on (where the function is defined).
From the previous two exercises, we learned that the domain of the function $f$ is:
Domain of $f$: $(-\infty,4]$
and the domain of the function $g$ is:
Domain of $g$: $[-1,\infty)$
To find the domain of $f+g$, we find the intersection of the two inequalities (where they overlap). Thus, the result is:
Domain of $f+g$: $[-1,4]$
