# What are the asymptotes of #y=(2x^2 +1)/( 3x -2x^2)#?

##### 1 Answer

Dec 23, 2015

Vertical Asymptotes:

Horizontal Asymptote:

#### Explanation:

- Verical Asymptotes

Since denominator could not be 0

we find the possible values of x that would make the equation in the denominator 0

Therefore

are vertical asymptotes.

- Horizontal asymptotes

Since the degree of numerator and denominator is the same, we have an horizontal asymptotes

graph{-(2x^2+1)/(x(2x+3)) [-25.66, 25.65, -12.83, 12.82]}