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