can someone help me figure this out?
experts pls help..

If function f(x) satisfies f(x) - f(x^2) for all x, which of the followong must be true?

A F(4) = F(2)*F(2)
B F(16) - F(2) = 0
C F(-2) +F(4) =0
D F(-3) = 3F(3)
E F(0) = 0

I wrote it out as f(x) = f(x) - f(x^2)

if you plug f(x)-f(x^2) into the different equations, you'll see that for B.

f(x) - f(x^2) - [f(x) - f(x^2)]=0

f(x) - f(x) + f(x^2) - f(x^2)=0

or 0=0