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If f(x) and g(x) are two functions, what is the value of g(2)?

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V
Joined: 02 Sep 2009
Posts: 41698

Kudos [?]: 124653 [0], given: 12079

If f(x) and g(x) are two functions, what is the value of g(2)? [#permalink]

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New post 10 Jul 2017, 04:37
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (01:29) correct 44% (01:02) wrong based on 77 sessions

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Kudos [?]: 124653 [0], given: 12079

Senior Manager
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S
Joined: 21 Mar 2016
Posts: 464

Kudos [?]: 26 [0], given: 85

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Re: If f(x) and g(x) are two functions, what is the value of g(2)? [#permalink]

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New post 10 Jul 2017, 05:21
stat1: clearly not suff,,no link to g(x)

stat2: we cannot deduce g(x) from the equation...not suff

combined is sufficient..
use stat1 to get the value of f(x) and then use stat2 to get the value of g(x)

IMO C

Kudos [?]: 26 [0], given: 85

Intern
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B
Joined: 23 Feb 2017
Posts: 39

Kudos [?]: 0 [0], given: 8

Re: If f(x) and g(x) are two functions, what is the value of g(2)? [#permalink]

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New post 10 Jul 2017, 19:02
I would go with E

may be I am wrong, but, I don't know the equation for g(x) either from stmt 1 or stmt 2.

Kudos [?]: 0 [0], given: 8

Intern
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Joined: 23 Aug 2015
Posts: 15

Kudos [?]: 6 [0], given: 451

Location: India
Concentration: General Management, Human Resources
GMAT 1: 610 Q46 V29
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Re: If f(x) and g(x) are two functions, what is the value of g(2)? [#permalink]

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New post 09 Aug 2017, 04:08
mohshu wrote:
stat1: clearly not suff,,no link to g(x)

stat2: we cannot deduce g(x) from the equation...not suff

combined is sufficient..
use stat1 to get the value of f(x) and then use stat2 to get the value of g(x)

IMO C


Can you please explain how to get g(x) ?

Kudos [?]: 6 [0], given: 451

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Senior Manager
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G
Joined: 25 Feb 2013
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Kudos [?]: 98 [1], given: 27

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If f(x) and g(x) are two functions, what is the value of g(2)? [#permalink]

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New post 09 Aug 2017, 04:35
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Bunuel wrote:
If f(x) and g(x) are two functions, what is the value of g(2)?

(1) f(x − 1) = 2x + 4
(2) f(g(x)) = 4x


Statement 1: \(f(x-1) = 2x+4\), or
\(f(x-1) = 2(x-1)+6\)
therefore \(f(x) = 2x+6\). but this equation doe not give any value of \(g(x)\). hence not sufficient

Statement 2: \(f(g(x)) = 4x\). this does not give any value of function \(f(x)\). hence not sufficient

Combining 1 & 2 we get
\(f(x) = 2x+6\), or \(f(g(x)) = 2g(x) + 6\)
\(2g(x)+6 = 4x\), or \(g(x) = 2x-3\)
therefore \(g(2) = 2*2-3 = 1\)

Option C

Kudos [?]: 98 [1], given: 27

If f(x) and g(x) are two functions, what is the value of g(2)?   [#permalink] 09 Aug 2017, 04:35
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If f(x) and g(x) are two functions, what is the value of g(2)?

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