Could someone please, please HELP me with this question?

Question

State the equation of all asymptotes of f(x) = 16/(x + 3)^2.

Answer 1

Finding asymptotes is kind of like finding the x value where the function does not exist.

SInce any number divided by 0 is undefined, it means the denominator cannot be zero. In other words, solving (x+3)^2 = 0 will get us the asymptotes.

(x+3)^2 = 0
x+3 = 0
x =-3

Answer 2

since x = -3 makes bottom of fraction 0, that's the vertical asymptote. as x→±∞, f(x)→0, so y = 0 is the horizontal asymptote.