Precalculus Examples

$g (x) = \frac{3 + x^{2}}{4 - x^{2}}$

Step 1

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

Interval Notation:

$(- \infty, - 1) \cup [\frac{3}{4}, \infty)$

Set-Builder Notation:

${y | y < - 1, y \geq \frac{3}{4}}$

Step 2