# How do you find the domain and range of y = 3 sqrt (x-2)?

May 14, 2018

Domain:
$\left[2 , \infty\right)$
Range:
$\left[0 , \infty\right)$

#### Explanation:

Domain:

since it is radical expression so its domain is what's under the radical sign greater than or equal to 0 because the radical cannot equal to anything less than 0

so

$x - 2 \ge 0$

$x \ge 2$

$\left[2 , \infty\right)$

Range:

$\left[0 , \infty\right)$