SOLUTION: Please consider the rational function: f(x)=8x+1/x^2-x-6 Find all vertical and horizontal asymptotes; give the equation(s) of the lines(s) as your answer.

Question 702232: Please consider the rational function: f(x)=8x+1/x^2-x-6
Find all vertical and horizontal asymptotes; give the equation(s) of the lines(s) as your answer.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Please consider the rational function: f(x)=8x+1/x^2-x-6
Find all vertical and horizontal asymptotes; give the equation(s) of the lines(s) as your answer.
**
f(x)=8x+1/x^2-x-6
since degree of denominator is one less than degree of numerator,
horizontal asymptote: y=0, or x-axis
...
Vertical asymptote:
set denominator=0, then solve for x-values which make the function undefined
x^2-x-6=0
(x-3)(x+2)=0
x≠3 or x≠-2
vertical asymptotes: x=3 and x=-2
RELATED QUESTIONS
Find all horizontal and vertical asymptotes of the function: f(x) = x/sqrt(x^2-1) (answered by Edwin McCravy,greenestamps)

give the equations of any vertical and horizontal asymptotes of the rational functions... (answered by MathLover1)

Find the equations of the vertical and horizontal asymptotes for the graph of the... (answered by stanbon)

Graph the Rational Function & give the equations of its asymptotes. (answered by jsmallt9)

Please show work Consider the function f(x)=(x^2-1)/(x-3) a Find the domain for... (answered by Boreal)

Find the equations of both the horizontal and vertical asymptotes of the rational... (answered by lwsshak3)

I have a homework question that states: graph the rational function. Find any vertical... (answered by scianci)

Find all vertical and horizontal asympotote(s) for the rational function f(x) = 4x^2... (answered by Fombitz)

Find all horizontal and vertical asymptotes of the function. f(x)= X^2+2/... (answered by jsmallt9)