# How do you find the domain of f (x)= root4(2x+10)?

Jun 19, 2017

Solve the inequality $2 x + 10 \ge 0$

The domain is $x \in \mathbb{R} : x \ge - 5$

#### Explanation:

Given: $f \left(x\right) = \sqrt[4]{2 x + 10}$

Assuming that $f \left(x\right) \in \mathbb{R}$, then we must restrict the domain such that:

$2 x + 10 \ge 0$

$2 x \ge - 10$

$x \ge - 5$