## Extending the Ideas 74

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

## Extending the Ideas 74. Writing to Learn Graph each side of the Example 3 summary equation:

\begin{aligned} & f(x)=\frac{2 x^{3}-3 x^{2}-5 x-12}{x-3} \text { and } \\ & g(x)=2 x^{2}+3 x+4, \quad x \neq 3 \end{aligned}

How are these functions related? Include a discussion of the domain and continuity of each function.