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