Precalculus Examples

$f (x) = \sqrt{7 + x}$

Step 1

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

$7 + x \geq 0$

Step 2

Subtract $7$ from 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