# How do you find the domain of root3{(x + 2)/(x - 4)}?

##### 1 Answer
Apr 6, 2017

Domain: $x \in \mathbb{R} : x \ne 4$

#### Explanation:

The function is defined for all real x except when $x = 4$

Hence the domain of the function is : $x \in \mathbb{R} : x \ne 4$

This can be seen on the graph of $f \left(x\right) = \sqrt[3]{\frac{x + 2}{x - 4}}$ below:

graph{root3((x+2)/(x-4)) [-10, 10, -5, 5]}