For which of the following functions f is f(z) = f(1-z) for all z?	Choose the correct option
A) f (x) = 1 - x  B) f (z) = 1 - z^2  C) f (z) = z^2 - (1 - z)^2  D) f (z) = z^2*(1 - z)^2  E) f (x) = x/(1 - x)
I remember seeing this problem in a GMATprep test. I think choice D should be F(z)=(z^2) (1-z)^2. If that is true then substituting (1-z) for will give us the same function back and the answer choice is f (z) = z^2*(1 - z)^2, where the function is multiplicative
<result>D</result>
For which of the following functions f is f(z) = f(1-z) for all z?