# How do you find the asymptotes for f(x)=(x+7)/(x^2-49)?

Feb 29, 2016

Vertical asymptote is x=7 and
Horizontal asymptote is y=0, that is x axis

#### Explanation:

f(x)= $\frac{x + 7}{{x}^{2} - 49} = \frac{1}{x - 7}$

There is a vertical asymptote given by x-7=0 that is x=7.

Further, since the degree of the polynomial in the numerator is less than the degree of the polynomial in the denominator, there would be a horizontal asymptote y=0