Precalculus Examples

$f (x) \frac{3}{x - 2}$

Step 1

Set the denominator in $\frac{3}{x - 2}$ equal to $0$ to find where the expression is undefined.

$x - 2 = 0$

Step 2

Add $2$ to both sides of the equation.

$x = 2$

Step 3

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

Interval Notation:

$(- \infty, 2) \cup (2, \infty)$

Set-Builder Notation:

${f | f \neq 2}$