Answer
{x|x \ne 4, x \ne -4}
Work Step by Step
g(x) = x / (x^{2} - 16)
If the denominator is zero, the function is undefined.
To make the function zero,
x^{2} = 16
x = +-\sqrt 16
x=-4, x=4
X cannot then equal these values.
Final answer:
{x|x \ne 4, x \ne -4}