# What are the vertical and horizontal asymptotes of #f(x)=(3x-1)/(x+4)#?

##### 1 Answer

Horizontal Asymptote:

Vertical Asymptote :

#### Explanation:

Since we have to find a vertical Asymptote, we must find a x value that makes the function of form anything/0 since it reaches to infinity. See in the denominator

For horizontal Asymptote. We must figure out what happens to the function when it reaches infinity. Since we can't figure what happens to the function right in this form. So we must do some tricks. Recall

Given

Divide numerator and denominator by x .

When

Hence

Is the horizontal Asymptote.