If f(g(3))=12, what is f(g(4))? 1) g(x) = 2x + 2 2) f(g(5)) : GMAT Data Sufficiency (DS)
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# If f(g(3))=12, what is f(g(4))? 1) g(x) = 2x + 2 2) f(g(5))

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If f(g(3))=12, what is f(g(4))? 1) g(x) = 2x + 2 2) f(g(5)) [#permalink]

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20 Jun 2011, 19:58
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If f(g(3))=12, what is f(g(4))?

1) g(x) = 2x + 2

2) f(g(5)) = 18
[Reveal] Spoiler: OA
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Re: A DS On Functions [#permalink]

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20 Jun 2011, 21:36
1) g(x) = 2x + 2

g(3) = 2*3 + 2 = 8

So f(8) = 12

g(4) = 2*4 + 2 = 10

f(10) = ?

Insufficient

2) f(g(5)) = 18

g(5) = 2*5 + 2 = 12

f(12) = 18

Insufficient

(1) + (2) Insufficient

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Re: A DS On Functions [#permalink]

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20 Jun 2011, 23:32
guygmat wrote:
If f(g(3))=12, what is f(g(4))?

1) g(x) = 2x + 2

2) f(g(5)) = 18

Stmt1: g(x)=2x+2 => g(4)=10
g(3)=8
f(g(3))=f(8)=12
f(10)=?
There is no equation for f(x) function. Insufficient.

Stmt2: f(g(5))=18
f(g(3))=12

Combining, we still do not have f(x) function from either of statement.

OA E.
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Re: A DS On Functions [#permalink]

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21 Jun 2011, 00:17
E for me too. There is no way to figure out f(x) even when combined.
Re: A DS On Functions   [#permalink] 21 Jun 2011, 00:17
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