If f(x)=125/x^3, what is the value of f(5x)*f(x/5) in terms

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If f(x)=125/x^3, what is the value of f(5x)*f(x/5) in terms [#permalink]

24 Aug 2012, 05:04

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Question Stats:

71% (03:06) correct

28% (01:17) wrong

based on 2 sessions

If f(x) = \frac{125}{x^{3}}, what is the value of f(5x)*f(x/5) in terms of f(x)?

A. (f(x))^{2}

B. f(x^{2})

C. (f(x))^{3}

D. f(x^{3})

E. f(125x)

[Reveal] Spoiler: OA

Last edited by Bunuel on 24 Aug 2012, 06:01, edited 1 time in total.

Edited the question.

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Re: If f(x)=125/x^3, what is the value of f(5x)/f(x/5) in terms [#permalink]

24 Aug 2012, 05:58

manulath wrote:

If f(x) = \frac{125}{x^{3}}, what is the value of \frac{f(5x)}{f(x/5)} in terms of f(x)?

A. (f(x))^{2}

B. f(x^{2})

C. (f(x))^{3}

D. f(x^{3})

E. f(125x)

In order the answer to be A, the question should read:

If f(x) = \frac{125}{x^{3}}, what is the value of f(5x)*f(x/5) in terms of f(x)?

Say x=1, then:

f(x) = f(1)=\frac{125}{1^{3}}=125;

f(5x)=f(5)=\frac{125}{5^3}=1;

f(\frac{x}{5})=f(\frac{1}{5})=\frac{125}{(\frac{1}{5})^3}=125*125.

{f(5x)}*{f(\frac{x}{5})}={f(5)}*{f(\frac{1}{5})}=125^2 and since f(x) = f(1)=125, then {f(5x)}*{f(\frac{x}{5})}=125^2=(f(x))^2.

Answer: A.

Hope it's clear.
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Manager

Joined: 12 May 2012

Posts: 88

Location: India

Concentration: General Management, Operations

GMAT 1: 650 Q51 V25
GMAT 2: 730 Q50 V38
GMAT 3: Q V

GPA: 4

WE: General Management (Transportation)

Followers: 2

Kudos [?]: 29 [0], given: 14

Re: If f(x)=125/x^3, what is the value of f(5x)/f(x/5) in terms [#permalink]

24 Aug 2012, 06:05

Bunuel wrote:

In order the answer to be A, the question should read:
If f(x) = \frac{125}{x^{3}}, what is the value of f(5x)*f(x/5) in terms of f(x)?

Thanks Bunuel.

The question really troubled me.
I tried methods and still could not arrive at correct answer.
Your verdict has confirmed my doubt.

I shall edit the question.

PS: You already did that. Thanks again.

Re: If f(x)=125/x^3, what is the value of f(5x)/f(x/5) in terms [#permalink] 24 Aug 2012, 06:05

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If f(x)=125/x^3, what is the value of f(5x)*f(x/5) in terms

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If f(x)=125/x^3, what is the value of f(5x)*f(x/5) in terms

If f(x)=125/x^3, what is the value of f(5x)*f(x/5) in terms

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