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# If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g

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Retired Moderator
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If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g [#permalink]  24 Jul 2018, 05:57
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Question Stats:

87% (00:50) correct 12% (00:52) wrong based on 16 sessions
If $$f(x) = x + 5$$ and $$f(2g) = 19$$, what is the value of $$f(3 – g)$$?

[Reveal] Spoiler: OA
1

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Sandy
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Intern
Joined: 07 Jul 2018
Posts: 9
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Kudos [?]: 5 [2] , given: 1

Re: If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g [#permalink]  27 Jul 2018, 17:09
2
KUDOS
2g+5=19

it implies: g=7.

Therefore, f(3-g)= 3-g+5

=3-7+5

=1.

I hope this is correct.
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 173

Kudos [?]: 2971 [1] , given: 394

Re: If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g [#permalink]  31 Jul 2018, 14:19
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Expert's post
Explanation

The main function is $$f(x) = x + 5$$. The notation $$f(2g)$$ indicates that you should plug $$2g$$ in for all instances of x: $$f(2g) = 2g + 5$$, which is also given as 19. If $$2g + 5 = 19$$, then $$2g = 14$$, and $$g = 7$$.

The question asks for the value of $$f(3 - g)$$, which is $$f(3 - 7) = f(-4) = -4 + 5 = 1$$.
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Sandy
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Re: If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g   [#permalink] 31 Jul 2018, 14:19
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