SOLUTION: Which of the following is true of f(x)? f(x)= (x^2+8x+15)/(x^2-2x-15). One of the following is the correct answer. Which one is correct? A) f(x) has vertical asymptotes at

Algebra ->  Graphs -> SOLUTION: Which of the following is true of f(x)? f(x)= (x^2+8x+15)/(x^2-2x-15). One of the following is the correct answer. Which one is correct? A) f(x) has vertical asymptotes at      Log On


   

Question 1198861: Which of the following is true of f(x)?
f(x)= (x^2+8x+15)/(x^2-2x-15).
One of the following is the correct answer. Which one is correct?
A) f(x) has vertical asymptotes at x=5 and x=-2, and a horizontal asymptote at y=1
B) f(x) has vertical asymptotes at x=-3 and a horizontal asymptote at y=0
C) f(x) has vertical asymptotes at x=-3, a hole at x5, and a horizontal asymptote.
D) f(x) has vertical asymptotes at x=5, a hole at x=-3, and a horizontal asymptote at y=1

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=+%28x%5E2%2B8x%2B15%29%2F%28x%5E2-2x-15%29
f%28x%29=+%28%28x+%2B+5%29+%28x+%2B+3%29%29%2F%28%28x+%2B+3%29+%28x+-+5%29%29
f%28x%29=+%28x+%2B+5%29%2F%28x+-+5%29->so, has vertical asymptote at +x=5,a hole at x=-3
highest degree quotient x%5E2%2Fx%5E2=1, so
horizontal asymptote: y=1

answer: D)