Precalculus Examples

$f (x) = \frac{4 x + 7}{6 x^{2} + 13 - 5}$

Step 1

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

Interval Notation:

$[\frac{21 - \sqrt{633}}{48}, \frac{21 + \sqrt{633}}{48}]$

Set-Builder Notation:

${y | \frac{21 - \sqrt{633}}{48} \leq y \leq \frac{21 + \sqrt{633}}{48}}$

Step 2