Answer
$(-∞,-4)∪(-4,3)∪(3,∞)$
Work Step by Step
Making $x=−4,3$ results in an undefined function, so those values are excluded from the domain.
$g(x)=\frac{2}{x^2+x-12}$
$g(x)=\frac{2}{(x+4)(x-3)}$
$(-∞,-4)∪(-4,3)∪(3,∞)$
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