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# If function f(x) satisfies f (1-x) = f (2+x) for all x,

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Kudos [?]: 41 [1] , given: 23

If function f(x) satisfies f (1-x) = f (2+x) for all x, [#permalink]  26 May 2013, 09:17
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Difficulty:

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Question Stats:

24% (03:19) correct 76% (00:59) wrong based on 38 sessions
If function f(x) satisfies f (1-x) = f (2+x) for all x, which of the following can be true?

A. f(x) = 3-x
B. f(x) = 1-x^2
C. f(x) = 2 - x - x^2
D. f(x) = 2x - (1-x)^2
E. f(x) = (1-x) / (2 + x)
[Reveal] Spoiler: OA

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Kudos [?]: 24438 [0], given: 2677

Re: If function f(x) satisfies f (1-x) = f (2+x) for all x, [#permalink]  26 May 2013, 12:49
Expert's post
atalpanditgmat wrote:
If function f(x) satisfies f (1-x) = f (2+x) for all x, which of the following can be true?

f(x) = 3-x
f(x) = 1-x^2
f(x) = 2 - x - x^2
f(x) = 2x - (1-x)^2
f(x) = (1-x) / (2 + x)

Similar questions to practice:
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functions-problem-need-help-93184.html
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Kudos [?]: 75 [0], given: 73

Re: If function f(x) satisfies f (1-x) = f (2+x) for all x, [#permalink]  01 Jun 2013, 00:47
I think the answer options are wrong.
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Re: If function f(x) satisfies f (1-x) = f (2+x) for all x,   [#permalink] 01 Jun 2013, 00:47
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