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For which of the following functions f is f(x)=f(1-x) for

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For which of the following functions f is f(x)=f(1-x) for [#permalink] New post 22 Sep 2007, 10:41
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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 don't even know where to begin. Thoughts?
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 [#permalink] New post 22 Sep 2007, 10:52
Very simple..asnwer is (D)...just try substituting x with (1-x) and see which one comes back with the same function/equation.
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Re: PS: Function [#permalink] New post 22 Sep 2007, 11:04
rizzoss669 wrote:
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 don't even know where to begin. Thoughts?



http://www.gmatclub.com/forum/t52660
Re: PS: Function   [#permalink] 22 Sep 2007, 11:04
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