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