Answer: (-4, 2]
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Step-by-step explanation:
The graph is a bit small, faded and blurry. However, it appears that there's an open hole when x = -4 and a closed endpoint at x = 2.
If those assumptions are correct, then the domain as a compound inequality is
which converts to the interval notation (-4, 2]
We use an open parenthesis to denote an open hole to exclude the endpoint. In contrast, a square bracket denotes a closed endpoint to include the endpoint.
Using words, the domain is the set of real numbers from -4 to 2, excluding -4 but including 2.