Give the equations of any horizontal asymptotes for the graphs of the rational functions.
-$$g ( x ) = \frac { x ^ { 2 } + 8 x - 6 } { x - 6 }$$
A) $y = - 8$
B) none
C) $y = 2$
D) $y = 6$

Question

Quizplus · Accepted Answer

Horizontal asymptotes are found by comparing the degrees of the polynomial in the numerator and the denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is $y = 0$. If the degrees are equal, the horizontal asymptote is the ratio of the leading coefficients. In this case, the degree of the numerator (2) is greater than the degree of the denominator (1), so there are no horizontal asymptotes according to these rules.

Give the Equations of Any Horizontal Asymptotes for the Graphs g(x)=x2+8x−6x−6g ( x ) = \frac { x ^ { 2 } + 8 x - 6 } { x - 6 }g(x)=x−6x2+8x−6​

Give the Equations of Any Horizontal Asymptotes for the Graphs $g ( x ) = \frac { x ^ { 2 } + 8 x - 6 } { x - 6 }$