Answer
Domain: All real numbers; $x \ne -2$
Work Step by Step
The domain of the function is all real numbers, except for when the denominator is 0. Thus, we let the denominator equal 0:
$$ 3(x^2 +4x +4 )=0 \\ 3(x+2)^2 =0 \\ x=-2 $$
Thus, we know that x cannot equal -2.
Domain: All real numbers; $x \ne -2$
