Last visit was: 27 Jul 2024, 05:54 It is currently 27 Jul 2024, 05:54
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 94621
Own Kudos [?]: 644322 [0]
Given Kudos: 86771
Send PM
CAT Tests Forum Quiz Mode
For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g( [#permalink] For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(   21 Jan 2019, 03:38
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

92% (00:39) correct 8% (01:03) wrong based on 50 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
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
ShowHide Answer
Official Answer
E
User avatar
G
KanishkM
Director
Director
Joined: 09 Mar 2018
Posts: 776
Own Kudos [?]: 458 [0]
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Send PM
Re: For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g( [#permalink] For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(   21 Jan 2019, 06:22
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
User avatar
P
4d
Current Student
Joined: 11 Dec 2013
Posts: 121
Own Kudos [?]: 367 [0]
Given Kudos: 44
GMAT 1: 730 Q51 V37
Send PM
GMAT ToolKit User
For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g( [#permalink] For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(   21 Jan 2019, 06:52
\(g(x) =\frac{1}{x+1}\)
\(g(2) =\frac{1}{2+1}\) = \(\frac{1}{3}\)
\(f(g(2))=f(\frac{1}{3})=\frac{1}{\frac{1}{3}}=3\)
User avatar
D
BrushMyQuant
Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 1806
Own Kudos [?]: 2152 [0]
Given Kudos: 100
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Send PM
Re: For all numbers x where x 0, if f(x) is defined by f(x) = 1/x and g( [#permalink] For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(   08 Dec 2023, 11:49
Expert Reply
Top Contributor
\(g(x) = \frac{1}{(1 + x)}\)

=> \(g(2) = \frac{1}{(1 + 2)}\) = \(\frac{1}{3}\)

\(f(x) = \frac{1}{x}\)

=> \(f(g(2)) =\) = f(\(\frac{1}{3}\)) = \(1 / (\frac{1}{3})\) = 3

So, Answer will be E
Hope it helps!

Watch the following video to learn the Basics of Functions and Custom Characters

GMAT Club Bot
gmatclubot
Re: For all numbers x where x 0, if f(x) is defined by f(x) = 1/x and g( [#permalink]
08 Dec 2023, 11:49
Moderator:
Bunuel
Math Expert
94621 posts