Last visit was: 16 Jul 2025, 01:39 It is currently 16 Jul 2025, 01:39
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 Jul 2025
Posts: 102,591
Own Kudos:
741,778
 [20]
Given Kudos: 98,202
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,591
Kudos: 741,778
 [20]
If g is a function defined for all x by g(x) = x^4/16, then what is 03 May 2017, 04:26
Kudos
Add Kudos
20
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

76% (01:10) correct 24% (01:48) wrong based on 475 sessions

History

Date
Time
Result
Not Attempted Yet
If g is a function defined for all x by \(g(x) = \frac{x^4}{16}\), then what is the value of \(g(2x)\) in terms of \(g(x)\)?

(A) \(\frac{g(x)}{16}\)

(B) \(\frac{g(x)}{4}\)

(C) \(4g(x)\)

(D) \(8g(x)\)

(E) \(16g(x)\)
ShowHide Answer
Official Answer
E
User avatar
attari92
User avatar
Joined: 25 Apr 2016
Last visit: 28 May 2019
Posts: 56
Own Kudos:
42
 [1]
Given Kudos: 308
Posts: 56
Kudos: 42
 [1]
If g is a function defined for all x by g(x) = x^4/16, then what is 03 May 2017, 04:32
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
g(2x) =x^4 => g(2x)=16* g(x) -> option E
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,755
Own Kudos:
34,094
 [2]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,755
Kudos: 34,094
 [2]
If g is a function defined for all x by g(x) = x^4/16, then what is 03 May 2017, 05:48
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If g is a function defined for all x by \(g(x) = \frac{x^4}{16}\), then what is the value of \(g(2x)\) in terms of \(g(x)\)?

(A) \(\frac{g(x)}{16}\)

(B) \(\frac{g(x)}{4}\)

(C) \(4g(x)\)

(D) \(8g(x)\)

(E) \(16g(x)\)

One option is to PLUG IN a value for x, and see what we get.

Let's try x = 1

So, g(x) = g(1) = (1^4)/16 = 1/16

Now let's try g(2x). If x = 1, then 2x = (2)(1) = 2
So, g(2x) = g(2) = (2^4)/16 = 16/16 = 1

So, when x = 1, g(x) = 1/16, and g(2x) = 1
In other words, the value of g(2x) is 16 TIMES the value of g(x)

Answer:
Show Spoiler
E

Cheers,
Brent
avatar
umadurga
avatar
Joined: 05 Nov 2016
Last visit: 02 Dec 2018
Posts: 62
Own Kudos:
45
 [4]
Given Kudos: 18
Posts: 62
Kudos: 45
 [4]
If g is a function defined for all x by g(x) = x^4/16, then what is 03 May 2017, 07:16
4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given g(x)=\(X^4\)/16
g(2x)=\((2X)^4\)/16
g(2x)=\(2^4\)*\(X^4\)/16
g(2x)=16*g(x)
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 15 Jul 2025
Posts: 21,119
Own Kudos:
26,171
Given Kudos: 296
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 21,119
Kudos: 26,171
If g is a function defined for all x by g(x) = x^4/16, then what is 06 May 2017, 17:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If g is a function defined for all x by \(g(x) = \frac{x^4}{16}\), then what is the value of \(g(2x)\) in terms of \(g(x)\)?

(A) \(\frac{g(x)}{16}\)

(B) \(\frac{g(x)}{4}\)

(C) \(4g(x)\)

(D) \(8g(x)\)

(E) \(16g(x)\)

Let’s begin by calculating g(2x):

g(2x) = (2x)^4/16 = (16x^4)/16 = x^4

Now, since g(x) = (x^4)/16, we have:

g(2x) = x^4 = (16x^4)/16 = 16[(x^4/16)] = 16g(x)

Alternate Solution:

When x = 1, g(2x) = g(2) = (2^4)/16 = 1. We will test each answer choice to see which ones produce 1 when x = 1. Note that g(1) = 1^4/16 = 1/16.

Answer Choice A: g(x)/16

When x = 1, we have g(1)/16 = (1/16)/16 = 1/16^2 ≠ 1.

Answer Choice B: g(x)/4

When x = 1, we have g(1)/4 = (1/16)/4 = 1/64 ≠ 1.

Answer Choice C: 4g(x)

When x = 1, we have 4g(x) = 4(1/16) = 4/16 = 1/4 ≠ 1.

Answer Choice D: 8g(x)

When x = 1, we have 8g(x) = 8(1/16) = 8/16 = 1/2 ≠ 1.

Answer Choice E: 16g(x)

When x = 1, we have 16g(x) = 16(1/16) = 16/16 = 1.

Answer: E
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 15 Jul 2025
Posts: 21,119
Own Kudos:
26,171
 [1]
Given Kudos: 296
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 21,119
Kudos: 26,171
 [1]
If g is a function defined for all x by g(x) = x^4/16, then what is 23 Sep 2019, 18:27
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If g is a function defined for all x by \(g(x) = \frac{x^4}{16}\), then what is the value of \(g(2x)\) in terms of \(g(x)\)?

(A) \(\frac{g(x)}{16}\)

(B) \(\frac{g(x)}{4}\)

(C) \(4g(x)\)

(D) \(8g(x)\)

(E) \(16g(x)\)


g(2x) = (2x)^4/16 = 16x^4/16 = x^4

We see that g(2x) is 16 times g(x), i.e., g(2x) = 16g(x).

Answer: E
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 21 Apr 2025
Posts: 5,965
Own Kudos:
5,159
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,965
Kudos: 5,159
If g is a function defined for all x by g(x) = x^4/16, then what is 07 Oct 2023, 09:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If g is a function defined for all x by \(g(x) = \frac{x^4}{16}\), then what is the value of \(g(2x)\) in terms of \(g(x)\)?

(A) \(\frac{g(x)}{16}\)

(B) \(\frac{g(x)}{4}\)

(C) \(4g(x)\)

(D) \(8g(x)\)

(E) \(16g(x)\)
\(g(2x) = \frac{16x^4}{16}=x^4\)

\(g(x) = \frac{x^4}{16}\)

Thus, we have \(16g(x) = 16\frac{x^4}{16}=x^4\), Answer must be (E)
User avatar
BrushMyQuant
User avatar
Joined: 05 Apr 2011
Last visit: 15 Jul 2025
Posts: 2,247
Own Kudos:
2,463
Given Kudos: 100
Status:Tutor - BrushMyQuant
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Expert
Expert reply
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
Posts: 2,247
Kudos: 2,463
If g is a function defined for all x by g(x) = x^4/16, then what is 17 Nov 2023, 11:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
↧↧↧ Detailed Video Solution to the Problem ↧↧↧




\(g(x) = \frac{x^4}{16}\) and we need to find the value of \(g(2x)\) in terms of \(g(x)\)?

To find g(2x) we need to replace x with 2x in g(x)

=> g(2x) = \(\frac{(2x)^4}{16}\) = \(\frac{2^4 * x^4}{16}\) = 16 * \(\frac{x^4}{16}\) = 16* g(x)

So, Answer will be E
Hope it helps!

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

User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,413
Own Kudos:
1,013
Posts: 37,413
Kudos: 1,013
If g is a function defined for all x by g(x) = x^4/16, then what is 14 Feb 2025, 03:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Bunuel
Math Expert
102591 posts
Krunaal
PS Forum Moderator
695 posts