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GMAT prep function problem

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GMAT prep function problem

by Baldini » Sun Mar 29, 2009 11:03 pm
For which of the following functions f is f(x) = f(1-x) for all x?

1. f(x) = 1-x
2. f(x) = 1-x^2
3. f(x) = x^2-(1-x)^2
4. f(x) = (x^2)(1-x)^2
5. f(x) = x/(1-x)

OA is D

Can someone please explain what the question is asking for and methodology to solution?
Thanks
GMAX
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by vittalgmat » Sun Mar 29, 2009 11:41 pm
Baldini,
This has been answered so many times on this forum.
Pls search.

thanks
-V
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Re: GMAT prep function problem

by Vemuri » Sun Mar 29, 2009 11:51 pm
D answers the question.

x^2(1-x)^2 = (1-x)^2(1-(1-x))^2
x^2(1-x)^2 = (1-x)^2(1-1+x)^2
x^2(1-x)^2 = (1-x)^2(x)^2
x^2(1-x)^2 = x^2(1-x)^2

Hope that helps.
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