# How do you find the domain of root3(2x+10)?

Aug 1, 2017

The domain is $\mathbb{R}$

#### Explanation:

$y = \sqrt[3]{2 x + 10}$

${y}^{3} = 2 x + 10$

$\forall x \in \mathbb{R}$, $y \in \mathbb{R}$

For example,

$y = \sqrt[3]{- 8}$, $\implies$, $x = - 2$

The domain of cubic root function is $\mathbb{R}$