# How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x)=( 21 x^2 ) / ( 3 x + 7)#?

##### 1 Answer

Nov 8, 2016

The vertical asymptote is

The oblique asymptote is

There is no horizontal asymptote

#### Explanation:

As you cannot divide by

As the degree of the numerator

therefore, we expect an oblique asymptote.

Let's do a long division

So

So there is no horizontal asymptote

graph{(y-((21x^2)/(3x+7)))(y-7x)=0 [-277.3, 263.8, -233.8, 37]}