Calculus Examples

$f (x) = \ln (x - 9)$

Step 1

Set the argument in $\ln (x - 9)$ greater than $0$ to find where the expression is defined.

$x - 9 > 0$

Step 2

Add $9$ to both sides of the inequality.

$x > 9$

Step 3

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

Interval Notation:

$(9, \infty)$

Set-Builder Notation:

${x | x > 9}$

Step 4