Answer
$\{x|x\ne-2\}$, $1$
Work Step by Step
Step 1. The domain requirement for $g(x)=\frac{x+2}{|x+2|}$ is $x+2\ne0$ or $\{x|x\ne-2\}$
Step 2. $g(-1)=\frac{-1+2}{|-1+2|}=1$
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