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Function

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Manager
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Joined: 12 Feb 2008
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Function [#permalink]

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New post 23 Sep 2008, 06:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Please give detailed explanation, i will follow with the OA.

Function \(f(x)\) satisfies \(f(x) = f(x^2)\) for all \(x\) . Which of the following must be true?


* \(f(4) = f(2)f(2)\)
* \(f(16) - f(-2) = 0\)
* \(f(-2) + f(4) = 0\)
* \(f(3) = 3f(3)\)
* \(f(0) = 0\)

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Re: Function [#permalink]

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New post 23 Sep 2008, 06:21
if f(x)=f(x^2) then f(-2)=f(4)...if f(4) then assume if x=4 then f(4)=f(4^2) i.e f(16)..

I will go with B..

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Re: Function [#permalink]

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New post 23 Sep 2008, 07:13
f(-2) = f(4) = f(16)
Hence, f(-2) = f(16)
f(16) - f(-2) = 0
Ans. is B

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Re: Function [#permalink]

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New post 24 Sep 2008, 04:28
KASSALMD wrote:
f(-2) = f(4) = f(16)
Hence, f(-2) = f(16)
f(16) - f(-2) = 0
Ans. is B



Why do you square twice.

f(-2)=f(4) and thats it.
where does f(16) come from. i understand that f(4)=f(16) but the question says only that f(x)=f(x^2)...........

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Re: Function [#permalink]

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New post 25 Sep 2008, 11:41
elmagnifico wrote:
KASSALMD wrote:
f(-2) = f(4) = f(16)
Hence, f(-2) = f(16)
f(16) - f(-2) = 0
Ans. is B



Why do you square twice.

f(-2)=f(4) and thats it.
where does f(16) come from. i understand that f(4)=f(16) but the question says only that f(x)=f(x^2)...........


What f(x) = f(x^2) means that f(2) = f(4) = f(16) = f(256) = ........

Hence, one can use f(16) in place of f(4).

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Re: Function   [#permalink] 25 Sep 2008, 11:41
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