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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 20 Nov 2005, 06:33
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For which of the following functions f is f(x)= f(1-x) for all x
F(x)=1-x
F(x)=1-x^2
F(x)=x^2-(1-x)^2
F(x)=(x^2) (1-x^2)
F(x)-x/ 1-x
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 [#permalink] New post 20 Nov 2005, 07:42
Should be D. F(x)=(x^2) (1-x^2)

D. is the only function which is the greatest at 1/2.
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Re: OG PS - Functions - Diff one-methinks ;-) [#permalink] New post 20 Nov 2005, 11:12
njss750 wrote:
For which of the following functions f is f(x)= f(1-x) for all x
F(x)=1-x
F(x)=1-x^2
F(x)=x^2-(1-x)^2
F(x)=(x^2) (1-x^2)
F(x)-x/ 1-x


I remember seeing this problem in a GMATprep test. I think choice D should be F(x)=(x^2) (1-x)^2. If that is true then substituting (1-x) for will give us the same function back and the answer choice is D, where the function is multiplicative
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 [#permalink] New post 25 Nov 2005, 08:09
Agreed, none of the original answers made sense.
  [#permalink] 25 Nov 2005, 08:09
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