### Home > PC3 > Chapter 11 > Lesson 11.1.1 > Problem11-10

11-10.

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

1. Analyze the graph of $y = g(x)$ and complete the following statements:
$\lim\limits_{ x \rightarrow \infty } g ( x ) =$ ______      $\lim\limits_{ x \rightarrow - \infty } g ( x ) =$ ______
Record both of these limit statements next to your graph.

2. Rewrite $g(x)$ as a transformation of the parent graph $y = \frac { 1 } { x }$. How does this form of the equation relate to your answers to part (a)?

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