# How do you find the asymptotes for #g(x)=(x+7)/(x^2-4)#?

##### 1 Answer

Jan 12, 2016

Vertical aymptotes:

Horizontal asymptotes:

#### Explanation:

**Vertical asymptotes:**

These occur when the denominator equals

#x^2-4=0#

#(x+2)(x-2)=0#

#x=-2color(white)(sss)"or"color(white)(sss)x=2#

**Horizontal asymptotes:**

Since the degree of the denominator is larger than the numerator, the horizontal asymptote will be at

Graphed:

graph{(x+7)/(x^2-4) [-11.01, 11.49, -5.9, 5.35]}