Finite Math Examples

$\frac{\ln (x)}{x}$

Step 1

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

$x > 0$

Step 2

Set the denominator in $\frac{\ln (x)}{x}$ equal to $0$ to find where the expression is undefined.

$x = 0$

Step 3

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

Interval Notation:

$(0, \infty)$

Set-Builder Notation:

${x | x > 0}$

Step 4