Answer
$[0, 5]$
Work Step by Step
The domain of the sum function $f+g$ is the intersection of the domains of $f$ and $g$.
Thus, if the domain of $f$ is $[0, 7]$ and the domain of $g$ is $[-2, 5]$, then the domain of $f+g$ is:
$=[0, 7] \cap [-2, 5] = [0, 5]$
Thus, the missing expression in the given statement is:
$[0, 5]$