Precalculus Examples

$g (x) = \ln (x + 2)$

Step 1

Set the argument in $\ln (x + 2)$ greater than $0$ to find where the expression is defined.

$x + 2 > 0$

Step 2

Subtract $2$ from both sides of the inequality.

$x > - 2$

Step 3

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

Interval Notation:

$(- 2, \infty)$

Set-Builder Notation:

${x | x > - 2}$

Step 4