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# For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(

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Math Expert
Joined: 02 Sep 2009
Posts: 53063
For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(  [#permalink]

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21 Jan 2019, 02:38
00:00

Difficulty:

25% (medium)

Question Stats:

100% (00:35) correct 0% (00:00) wrong based on 12 sessions

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For all numbers x where x ≠ 0, if f(x) is defined by $$f(x) = \frac{1}{x}$$ and g(x) is defined by $$g(x) = \frac{1}{(1 + x)}$$, then $$f(g(2)) =$$

A 13
B 12
C 1
D 2
E 3

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Joined: 09 Mar 2018
Posts: 1001
Location: India
Re: For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(  [#permalink]

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21 Jan 2019, 05:22
Bunuel wrote:
For all numbers x where x ≠ 0, if f(x) is defined by $$f(x) = \frac{1}{x}$$ and g(x) is defined by $$g(x) = \frac{1}{(1 + x)}$$, then $$f(g(2)) =$$

A 13
B 12
C 1
D 2
E 3

IMO E

g(2) = 1/3

f((g(2))) = 3
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Manager
Joined: 11 Dec 2013
Posts: 114
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(  [#permalink]

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21 Jan 2019, 05:52
$$g(x) =\frac{1}{x+1}$$
$$g(2) =\frac{1}{2+1}$$ = $$\frac{1}{3}$$
$$f(g(2))=f(\frac{1}{3})=\frac{1}{\frac{1}{3}}=3$$
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For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(   [#permalink] 21 Jan 2019, 05:52
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