Answer
true
Work Step by Step
RECALL:
The domain of each of the following: $f+g$, $f-g$, and $f\cdot g$, is the intersection of the domains of $f$ and $g$.
Thus, the domain of $f\cdot g$ is made up of all the numbers $x$ that are both in the domain of $f$ and domain of $g$.
Therefore, the given statement is true.
