Question

Identify any vertical asymptotes and horizontal asymptotes? (Enter your answers as comma-separated lists of equations. If an answer does not exist, enter DNE.) f(x) = −3(x + 3)(x − 2) / (x − 4)(x − 2)

Answer 1

(x-2) cancels from the numerator and denominator, which is called a "hole" at x = 2.
There is a vertical asymptote at x = 4.
There is a horizontal asymptote at y = -3