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

Jun 1, 2018

Domain of $y$ is $\left[2 , + \infty\right)$

#### Explanation:

$y = \sqrt{x - 2}$

For $\left\{x , y\right\} \in \mathbb{R}$, $y$ is defined $\forall x \ge 2$

Hence, the domain of $y$ is $\left[2 , + \infty\right)$

We can infer this result from the graph of $y$ below.

graph{sqrt(x-2) [-3.73, 12.076, -3.75, 4.15]}