# How do you find the asymptotes for # f(x)=(3x)/(x-8)#?

##### 1 Answer

Aug 5, 2018

HA at

VA at

#### Explanation:

For the horizontal asymptote, we want to compare the degrees of the numerator and denominator.

Comparing the degrees, we have

We can cancel the variables to be left with a horizontal asymptote at

To think about the vertical asymptote, we want to think about what value makes our function undefined.

In our case, this function will be undefined when the denominator is equal to zero, and we see this happens at

With this in mind, we can say we have a vertical asymptote at

Hope this helps!