SOLUTION: List any vertical or horizontal asymptotes, if they exist, for the following function. f(x)= (4x^2 + 7x - 57)/(x^2 +5x -24) THANKS

Algebra ->  Finance -> SOLUTION: List any vertical or horizontal asymptotes, if they exist, for the following function. f(x)= (4x^2 + 7x - 57)/(x^2 +5x -24) THANKS      Log On


   

Question 1047721: List any vertical or horizontal asymptotes, if they exist, for the following function.
f(x)= (4x^2 + 7x - 57)/(x^2 +5x -24)
THANKS
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
y=4 is horizontal asymptote. The x^2 terms in numerator and denominator become increasingly more important to the extreme left and right.


Factorization makes f%28x%29=%28%28x-3%29%284x%2B19%29%29%2F%28%28x%2B8%29%28x-3%29%29. Only one of the denominator factors gives an asymtptote because the other is also in the numerator. Hole at x=3, but ASYMPTOTE (vertical) at x=-8.