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# f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value of x ?

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value of x ?  [#permalink]

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29 Jul 2018, 23:54
00:00

Difficulty:

15% (low)

Question Stats:

79% (00:58) correct 21% (01:02) wrong based on 28 sessions

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$$f(x) = \frac{2-x}{5}$$and $$g(x) = 3x - 2$$. If $$f(g(x)) = 1$$, what is the value of x?

(A) $$\frac{-5}{3}$$

(B) $$\frac{-1}{3}$$

(C) $$\frac{2}{3}$$

(D) 1

(E) $$\frac{5}{3}$$

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Re: f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value of x ?  [#permalink]

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30 Jul 2018, 00:00
Ans: B
f(g(x)) = [2-(3x-2)]/5=1
so 4-3x=5 ; x= -(1/3)

Bunuel wrote:
$$f(x) = \frac{2-x}{5}$$and $$g(x) = 3x - 2$$. If $$f(g(x)) = 1$$, what is the value of x?

(A) $$\frac{-5}{3}$$

(B) $$\frac{-1}{3}$$

(C) $$\frac{2}{3}$$

(D) 1

(E) $$\frac{5}{3}$$

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Re: f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value of x ? &nbs [#permalink] 30 Jul 2018, 00:00
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