Find the domain of the rational function.
f(z) = z + 3
z(z − 9)

All real values
All real values of z such that z ≠ 0
All real values of z such that z ≠ 0 and z ≠ 9
All real values of z such that z ≠ 9
All real values of z such that z ≠ 3

Answer:
All real values of z such that z ≠ 0 and z ≠ 9