#### Answer

$(-∞,∞)$

#### Work Step by Step

We are given the function $g(x)=\sqrt[3] (x-3)$.
The index of the radical is odd, so we know that this function will produce a real number for any value of x. Therefore, the domain of this function is all real number values of x. This can be written as $(-∞,∞)$ in interval notation.