We have a function f(x) defined below:
f(x) = (4x²-36x)/(x-9)
We can factor the top:
f(x) = (4x)(x-9)/(x-9)
We see an (x-9) term in the top and bottom. This means that we can reduce f(x) down to:
f(x) = 4x
But we must keep in mind that due to the canceling (x-9) terms, there is a removable discontinuity (hole) at x = 9
To find the zeros of f(x), simple set f(x) = 0 and solve for x:
f(x) = 4x
0 = 4x
x = 0
Choice B