# What is the domain and range of y =sqrt(tanx)?

Domain: ${\cup}_{k \in \mathbb{Z}} \left[k \pi , \frac{\pi}{2} + k \pi\right)$
Range: ${\mathbb{R}}_{+}$
$\tan x \ge 0$
$x \in \left[0 , \frac{\pi}{2}\right) + k \pi$