Answer
The domain of $g(t)$ is: $(-∞,-1) \cup (-1,∞)$
Work Step by Step
$g(t) = \frac{t^{2} - 1}{t + 1}$ has one restriction at $t = -1$ (undefined). Otherwise, it becomes a line:
$g(t)=\frac{(t+1)(t-1)}{(t+1)}=t-1$
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