function problem pls help

[khondkar]

Function F(x) satisfies F(x) = F(x^2) for all x. Which of the following 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) = 3*F(3)
e) F(0) = 0

[Pilot]

according to the condition F(-2)=F(4)=F(16). So, the answer is B.

[khondkar]

Thank you.

OA:B.

can you explain why not E.

[Pilot]

Thank you.

OA:B.

can you explain why not E.

if x=0, then F(0)=F(0). That is, F(0) can take any number. That's why E must not be true.