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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value  Question banks Downloads My Bookmarks Reviews Important topics
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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 , given: 397

f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value [#permalink]
Expert's post 00:00

Question Stats: 50% (00:18) correct 50% (01:36) wrong based on 8 sessions
$$f(x) = \frac{2-x}{5}$$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) $$\frac{5}{3}$$
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 , given: 397

Re: f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value [#permalink]
Expert's post
Explanation

Substitute the expression for g(x) into the function for f(x), and set the answer equal to 1.

Since g(x) = 3x – 2, substitute the expression 3x – 2 in for x in the expression for f(x):

$$f(g(x))=\frac{2-g(x)}{5}=\frac{2-(3x-2)}{5}=\frac{4-3x}{5}$$.

Since f(g(x)) = 1, solve the equation $$\frac{4-3x}{5}= 1$$:

$$4 - 3x = 5$$

$$-3x = 1$$

$$x = -\frac{1}{3}$$
_________________

Sandy
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Try our free Online GRE Test Re: f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value   [#permalink] 12 Aug 2018, 05:11
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# f(x) = and g(x) = 3x – 2. If f(g(x)) = 1, what is the value  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.