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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?

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Math Expert V
Joined: 02 Sep 2009
Posts: 59730
If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?  [#permalink]

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Difficulty:   15% (low)

Question Stats: 88% (01:54) correct 13% (01:58) wrong based on 46 sessions

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If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?

(A) 4
(B) 2
(C) 1
(D) -3
(E) -5

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RC Moderator V
Joined: 24 Aug 2016
Posts: 782
GMAT 1: 540 Q49 V16 GMAT 2: 680 Q49 V33 Re: If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?  [#permalink]

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1
Bunuel wrote:
If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?

(A) 4
(B) 2
(C) 1
(D) -3
(E) -5

f(x) = 10x/(1 − x) or f(3) = 10*3/(1 − 3)= -15
hence , 10x/(1 − x)=1/2*(-15) ===> x=-3 Ans D
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NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1027
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?  [#permalink]

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f(3) = 10*3/(1-3) = 30/-2 = -15

If x = -3, then

f(-3) = -30/(1+3) = -30/4 = -15/2 = 1/2f(3) Re: If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?   [#permalink] 01 Oct 2018, 23:33
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# If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?  