Answer
This domain is all real numbers in the range of $[0,5]$.
Work Step by Step
The domain of $f+g$ consists of the numbers in the domain of both $f$ and $g$.
Therefore here, we have to search for the domain that is in both (or common to) $[0,7]$ and $[-2,5]$.
The numbers that are common to the two given sets are the numbers from $0$ to $5$.
Thus, the domain of $f+g$ is all real numbers in the range of $[0,5]$.
