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

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

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) (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 . 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.

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