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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 06 Apr 2006, 14:17
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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)

OPEN DISCUSSION OF THIS QUESTION IS HERE: for-which-of-the-following-functions-f-is-f-x-f-1-x-for-85751.html

Last edited by Bunuel on 22 Jul 2012, 13:27, edited 1 time in total.
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Re: For which of the following functions f is f(x) = f(1-x) for [#permalink] New post 22 Jul 2012, 11:36
Any function which is having symmetric nature with respect to x and (1-x) will be the answer.
Am not sure about the symbol in option 2.
option 3 is correct for sure!

Hope it helps!
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Re: For which of the following functions f is f(x) = f(1-x) for   [#permalink] 22 Jul 2012, 11:36
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