Find the Domain y=2 square root of x-6

$y = 2 \sqrt{x - 6}$

Step 1

Set the radicand in $\sqrt{x - 6}$ greater than or equal to $0$ to find where the expression is defined.

$x - 6 \geq 0$

Step 2

Add $6$ to both sides of the inequality.

$x \geq 6$

Step 3

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$[6, \infty)$

Set-Builder Notation:

${x | x \geq 6}$

Step 4