Find the Domain Y = square root of X-7

$Y = \sqrt{X - 7}$

Step 1

Set the radicand in $\sqrt{X - 7}$ greater than or equal to $0$ to find where the expression is defined.

$X - 7 \geq 0$

Step 2

Add $7$ to both sides of the inequality.

$X \geq 7$

Step 3

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

Interval Notation:

$[7, \infty)$

Set-Builder Notation:

${X | X \geq 7}$

Step 4