Precalculus Examples

$(\frac{f}{g}) (x)$

Step 1

Set the denominator in $\frac{f}{g}$ equal to $0$ to find where the expression is undefined.

$g = 0$

Step 2

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

Interval Notation:

$(- \infty, 0) \cup (0, \infty)$

Set-Builder Notation:

${f | f \neq 0}$