### Home > PC > Chapter 8 > Lesson 8.1.4 > Problem8-57

8-57.

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

1. Analyze the graph of $g\left(x\right)$ and complete the following statements:

$\lim\limits _ { x \rightarrow \infty } g ( x ) =$ ____

$\lim\limits _ { x \rightarrow - \infty } g ( x ) =$ ____

2. Record both of these limit statements next to your graph.

3. Rewrite $g\left(x\right)$ as a transformation of the parent graph $y = \frac { 1 } { x }$.

$g(x)=\frac{3+2x}{x-4}=\frac{2(x-4)+11}{x-4}$