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Guys, need your help on understanding this one - comes from GMAT Club test m25 Q22. Have not found it via search. Would love to get a thorough explanation. Thanks!

If 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)=3f(3) E. f(0)=0

Re: Functions question from GMATclub m25 [#permalink]

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29 Sep 2009, 09:15

Well at first go, even i had no idea, just trying to understand. Everything is defined in term of functions, and function can be defined in any way like it can be f(X) = ax+b or \sqrt{x}, so its only become true for B, its kind of weird that, in B we are keep on substituting for second function and keeping first part as it is, i think it can be only B which can equate to RHS and no other option is possible/true.