Precalculus Examples

$f (x) = \frac{x - 3}{x^{2} - 9}$

Step 1

The range is the set of all valid $y$ values. Use the graph to find the range.

Interval Notation:

$(- \infty, 0) \cup (0, \frac{1}{6}) \cup (\frac{1}{6}, \infty)$

Set-Builder Notation:

${y | y \neq 0, \frac{1}{6}}$

Step 2