Answer
See below.
Work Step by Step
The term in the denominator must be non-zero, thus $|x+2|\ne0\\x+2\ne0\\x\ne-2$
Thus the domain is the real numbers except $-2$.
$f(-1)=\frac{-1+2}{|-1+2|}=\frac{1}{1}=1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.