# What is the domain and range for h(x)=-sqrt(x+3)?

Apr 10, 2018

Domain: $\left[- 3 , \infty\right)$
Range: $\left(- \infty , 0\right]$

#### Explanation:

$h \left(x\right) = - \sqrt{x + 3}$
the domain:
$x + 3 \ge 0$
$x \ge - 3$
in interval form:
$\left[- 3 , \infty\right)$
the range:
lowest possible value under the square root sign is zero, thus:
$y \le 0$
in the interval form:
$\left(- \infty , 0\right]$