Find the Domain h(x) = square root of 2+x

$h (x) = \sqrt{2 + x}$

Step 1

Set the radicand in $\sqrt{2 + x}$ greater than or equal to $0$ to find where the expression is defined.

$2 + x \geq 0$

Step 2

Subtract $2$ from both sides of the inequality.

$x \geq - 2$

Step 3

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

Interval Notation:

$[- 2, \infty)$

Set-Builder Notation:

${x | x \geq - 2}$

Step 4