Home > PC3 > Chapter 10 > Lesson 10.1.3 > Problem10-56

10-56.

If $g(x) = x(x + 2)(x − 3)$, where are the vertical and horizontal asymptotes of $y =\frac { 1 } { g ( x ) }$? For the horizontal asymptote, evaluate $\lim\limits _ { x \rightarrow \infty } \frac { 1 } { g ( x ) }$.

$\text{Wherever }g(x)=0,\frac{1}{g(x)} \text{ is undefined, creating a vertical asymptote.}$