wht is the explanation?
For which of the following functions f is f(x)=f(1-x) for all x ?
A. f(X) = 1-X
B. f(X) = 1-X^2
C. f(x) = x^2-(1-x)^2
D. f(x) = x^2(1-x)^2
e. f(x) = x/(1-x)
I dunno if mine is the fastest way to do but i did it following way
for value 1, 1-x =0 (for other's if x positive 1-x will be -ve & vice versa)
E and then A & B ruled out.
C too doesn't satisfy. D only held true
(I tested a positive, negative pair with D to confirm)