equation with 1 hole 1 zero horizontal asymptore and 2 vertical asymptotes

Question

equation with 1 hole 1 zero horizontal asymptore and 2 vertical asymptotes

Answer 1

f(x) = (x+1)(x-3)^2 / (x+1)(x-2)(x-5)

For this example,

The hole is at x= -1

The 2 vertical asymptotes are x = 2 and x = 5

The horizontal asymptote is 1

and the zero is x = 3