For the given function, find all asymptotes of the type indicated (if there are any)
-$f ( x ) = \frac { x + 9 } { x ^ { 2 } + 9 x + 2 }$, horizontal
A) $y = 0$
B) None
C) $y = x$
D) $y = 9$

Question

Quizplus · Accepted Answer

Horizontal asymptotes are found by comparing the degrees of the polynomial in the numerator and the denominator. Since the degree of the numerator (1) is less than the degree of the denominator (2), the horizontal asymptote is $y = 0$.

For the Given Function, Find All Asymptotes of the Type f(x)=x+9x2+9x+2f ( x ) = \frac { x + 9 } { x ^ { 2 } + 9 x + 2 }f(x)=x2+9x+2x+9​

For the Given Function, Find All Asymptotes of the Type $f ( x ) = \frac { x + 9 } { x ^ { 2 } + 9 x + 2 }$