# How do you find the domain and range of f(x)=sqrt(x+4)?

Apr 17, 2017

The domain would be anything that keeps the argument $\left(x + 4\right)$ non-negative. The result $f \left(x\right)$ is also non-negative.

#### Explanation:

Domain :
$x + 4 \ge 0 \to x \ge - 4$

Range :
$f \left(x\right) \ge 0$ as the argument may be $= 0$ when $x = - 4$
graph{sqrt(x+4) [-10, 10, -5, 5]}