# How to find the asymptotes of #f(x)=( 21 x^2 ) / ( 3 x + 7)#?

##### 1 Answer

Nov 12, 2016

The vertical asymptote is

The oblique asymptote is

There are no horizontal asymptotes

#### Explanation:

As we cannot divide by

The degree of the numerator is

Let's do a long division

The oblique asymptote is

graph{(y-21x^2/(3x+7))(y-7x+49/3)=0 [-169, 168.7, -84.7, 84.5]}