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If x>0, does f(x^2)=f(x)^2?

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If x>0, does f(x^2)=f(x)^2? [#permalink]

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New post 07 Mar 2016, 03:25
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If x>0, does f(x^2)=f(x)^2? [#permalink]

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Bunuel wrote:
If x>0, does f(x^2)=f(x)^2?

(1) f(x)=√x
(2) x=9


Question : Is f(x^2)=f(x)^2?

Statement 1: f(x)=√x
f(x^2)=√(x^2) = x
f(x)^2 = (√x)^2 = x

since x is positive so both quantities will be equal hence
SUFFICIENT

Statement 2:x=9
We don't have the definition of f(x) hence,
NOT SUFFICIENT

Answer: Option A
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Re: If x>0, does f(x^2)=f(x)^2? [#permalink]

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New post 31 May 2016, 23:08
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Hi - I see what GMATInsights says regarding why (2) is wrong, but I don't know how to put it in my notes. Is the explanation that in order for a variable to go into a function that function must be defined as is the case in (1)? I initially just put 9 into the function

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Re: If x>0, does f(x^2)=f(x)^2? [#permalink]

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New post 31 Jul 2016, 14:40
Bunuel,

Can you post your solution? I saw the OE but I was not very satisfied with it.

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Re: If x>0, does f(x^2)=f(x)^2? [#permalink]

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New post 01 Aug 2016, 01:28
TheLostBear wrote:
Bunuel,

Can you post your solution? I saw the OE but I was not very satisfied with it.


My solution won't be much different from this one: if-x-0-does-f-x-2-f-x-214483.html#p1655449 Can you please tell me what is confusing there? Thank you.
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Re: If x>0, does f(x^2)=f(x)^2? [#permalink]

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New post 30 Aug 2016, 06:10
ISn't sqrt(x2) = |x|
I know Sqrt(x) is positive!!

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Re: If x>0, does f(x^2)=f(x)^2? [#permalink]

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Re: If x>0, does f(x^2)=f(x)^2?   [#permalink] 13 Sep 2017, 07:48
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