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

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

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New post 01 Oct 2018, 23:13
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A
B
C
D
E

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  15% (low)

Question Stats:

89% (01:20) correct 11% (01:45) wrong based on 27 sessions

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Re: If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?  [#permalink]

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New post 01 Oct 2018, 23:29
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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Re: If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)?  [#permalink]

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New post 01 Oct 2018, 23:33
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)

D is the answer.
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Re: If f(x) = 10x/(1 − x), for what value of x does f (x) = 1/2*f(3)? &nbs [#permalink] 01 Oct 2018, 23:33
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