Answer
The domain of G(x) is {${ x|x\ne0,x\ne-2,x\ne2}$}
Work Step by Step
$G(x)=\frac{x+4}{x^3-4x}$
To find the domain of a rational function, we must set the denominator equal to 0 and solve for x.
$x^3-4x=0$
$x(x^2-4)=0$
Now, set each factor equal to 0.
$x=0$ or $x=\pm2$
This means that the domain is:
{${ x|x\ne0,x\ne-2,x\ne2}$}