Last visit was: 23 Apr 2026, 01:20 It is currently 23 Apr 2026, 01:20
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
zxcvbnmas
User avatar
Joined: 06 Jun 2014
Last visit: 22 Oct 2016
Posts: 71
Own Kudos:
644
 [13]
Given Kudos: 109
Location: United States
Concentration: Finance, General Management
GMAT 1: 450 Q27 V21
GPA: 3.47
GMAT 1: 450 Q27 V21
Posts: 71
Kudos: 644
 [13]
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the 04 Feb 2016, 17:57
1
Kudos
Add Kudos
12
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

78% (01:29) correct 22% (01:47) wrong based on 450 sessions

History

Date
Time
Result
Not Attempted Yet
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the following is a possible value of g(f(x))?


A) -23

B) -17

C) 0

D) 8

E) 20
ShowHide Answer
Official Answer
A
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 22 Apr 2026
Posts: 11,229
Own Kudos:
44,996
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 44,996
 [1]
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the 04 Feb 2016, 19:05
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
zxcvbnmas
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the following is a possible value of g(f(x))?


A) -23

B) -17

C) 0

D) 8

E) 20
Show more

Hi,
You have two functions and you are asked to find function of the first function.
So substitute fx for x...
G(x)=2x+3...
F(x)=4x-1...
So g(f(x))=2(4x-1)+3=8x-2+3=8x+1...
If you look at the choices only A is in this format..
8*(-3)+1=-23....
A
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 22 Apr 2026
Posts: 6,976
Own Kudos:
16,904
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,976
Kudos: 16,904
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the 04 Feb 2016, 21:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
zxcvbnmas
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the following is a possible value of g(f(x))?


A) -23

B) -17

C) 0

D) 8

E) 20
Show more

f(x)=4x−1 and g(x)=2x+3

g(f(x)) = 2*f(x)+3 = 2*(4x-1)+3 = 8x+1 i.e. a Multiple of 8+1


Checking Options

-23 = 8*(-4)+1 hence CORRECT ANSWER

Answer: option A
avatar
mayankrajsingh
avatar
Joined: 27 Aug 2013
Last visit: 27 Jan 2025
Posts: 1
Given Kudos: 49
Posts: 1
Kudos: 0
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the 16 Aug 2017, 03:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATinsight 8*-4 will be -32 not -24
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 22 Apr 2026
Posts: 16,439
Own Kudos:
79,390
 [1]
Given Kudos: 484
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,439
Kudos: 79,390
 [1]
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the 17 Sep 2018, 22:11
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
zxcvbnmas
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the following is a possible value of g(f(x))?


A) -23

B) -17

C) 0

D) 8

E) 20
Show more

g(f(x)) will be the same as g(4x - 1).
So wherever we have x in g(x), we just substitute it with (4x - 1)

g(f(x)) = 2*(4x - 1) + 3 = 8x + 1

A possible value of g(x) is x is an integer is 1 more than a multiple of 8.
-24 is a multiple of 8 and -24 + 1 = -23
No other option is 1 more than a multiple of 8.

Answer (A)

For more on functions, check:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2015/0 ... s-on-gmat/
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2015/0 ... questions/
User avatar
Basshead
User avatar
Joined: 09 Jan 2020
Last visit: 07 Feb 2024
Posts: 907
Own Kudos:
323
Given Kudos: 431
Location: United States
Posts: 907
Kudos: 323
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the 02 Dec 2020, 13:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
zxcvbnmas
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the following is a possible value of g(f(x))?


A) -23

B) -17

C) 0

D) 8

E) 20
Show more

\(g(f(x)) = g(4x−1) = 2(4x−1) + 3 = 8x + 1\)

So we're looking for a multiple of 8 plus 1. Lets check the options:

\(8(-3) + 1 = -23\)

Answer is A.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,959
Own Kudos:
1,117
Posts: 38,959
Kudos: 1,117
If f(x)=4x−1 and g(x)=2x+3 for all integers, which of the 23 Sep 2025, 09:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109763 posts
Krunaal
Tuck School Moderator
853 posts