# How do you find the vertical, horizontal or slant asymptotes for # (sqrt(x^4 + 6x^2 + 9)) / (2x^2 - 10)#?

##### 1 Answer

Jul 12, 2018

**Vertical asymptote is at**

**Horizontal asymptote:** **slant asymptote:absent**

#### Explanation:

Vertical asymptote is at

Horizontal asymptote: The degree of numerator and denominator

is same i.e

coefficient)

Slant asymptote: Since numerator's degree is not greater , we

have no slant asymptote.

Vertical asymptote is at

Horizontal asymptote:

graph{(sqrt(x^4+6x^2+9))/(2x^2-10) [-10, 10, -5, 5]} [Ans]