NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 16:02 It is currently 24 Apr 2024, 16:02
Decision Tracker
My Rewards
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

If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618811 [2]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? [#permalink] New post   27 Jul 2018, 01:10
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

92% (00:53) correct 8% (00:55) wrong based on 142 sessions
Hide Show timer Statistics
If \(h(x) = 2x^3 - 3\) and \(h(m) = -19\), what is the value of m?

(A) –3
(B) –2
(C) 2
(D) 6,856
(E) 6,862
ShowHide Answer
Official Answer
B
User avatar
D
vaibhav1221
Senior Manager
Senior Manager
Joined: 19 Nov 2017
Posts: 300
Own Kudos [?]: 306 [0]
Given Kudos: 50
Location: India
Schools: IIMA '25 (A) Columbia CBS'26 (D) Fuqua '26 (D) ISB '25 (WL) Darden '26 (D) Kenan-Flagler '26 (WL)
GMAT 1: 710 Q49 V38
GPA: 3.25
WE:Account Management (Advertising and PR)
Send PM
Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? [#permalink] New post   27 Jul 2018, 01:16
Bunuel wrote:
If \(h(x) = 2x^3 - 3\) and \(h(m) = -19\), what is the value of m?

(A) –3
(B) –2
(C) 2
(D) 6,856
(E) 6,862


If
\(h(x) = 2x^3 - 3\)
then
\(h(m) = 2m^3 - 3\)
and
\(h(m) = -19\)

So
\(2m^3 - 3 = -19\)
\(m=-2\) fits the equation

\(2*(-8) - 3 = -19\)
\(-16-3 = -19\)
\(-19 = -19\)

Thus, B
User avatar
P
sudarshan22
Retired Moderator
Joined: 30 Jan 2015
Posts: 636
Own Kudos [?]: 2427 [0]
Given Kudos: 1131
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Send PM
Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? [#permalink] New post   27 Jul 2018, 02:25
h(x) = 2*x^3 − 3 and h(m) = −19
m = ?

Now,
-19 = 2*m^3 − 3
-16 = 2*m^3
-8 = m^3
m = -2

Hence, B.
User avatar
L
Nikhil
MBA Section Director
Joined: 22 May 2017
Affiliations: GMATClub
Posts: 12745
Own Kudos [?]: 8831 [0]
Given Kudos: 3034
GRE 1: Q168 V154
GPA: 3.4
WE:Engineering (Education)
Send PM
GMAT ToolKit User Reviews Badge
Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? [#permalink] New post   27 Jul 2018, 03:10
Expert Reply
Bunuel wrote:
If \(h(x) = 2x^3 - 3\) and \(h(m) = -19\), what is the value of m?

(A) –3
(B) –2
(C) 2
(D) 6,856
(E) 6,862


\(h(x) = 2x^3 - 3\) and \(h(m) = -19\)

=> \(2m^3 - 3 = -19\)

=> \(2m^3 = -19 + 3 = -16\)

=> \(m^3 = -8\)

=> m = -2

Hence option B
User avatar
S
ArjunJag1328
Manager
Manager
Joined: 24 Dec 2017
Posts: 142
Own Kudos [?]: 65 [0]
Given Kudos: 48
Location: India
Concentration: Strategy, Real Estate
Schools: Johnson '21
Send PM
Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? [#permalink] New post   27 Jul 2018, 04:50
h(x) = 2x^3-3
h(m) = -19

h(m) = 2m^3-3
2m^3-3 = -19
2m^3 = -19+3
2m^3 = -16
m^3 = -16/2
m^3 = -8
m = -2

Hence IMO B
avatar
B
Priyadarshana
Intern
Intern
Joined: 23 Jun 2018
Posts: 15
Own Kudos [?]: 9 [0]
Given Kudos: 41
Send PM
Re: If h(x) = 2x^3 – 3 and h(m) = –19, what is the value of m? [#permalink] New post   28 Jul 2018, 10:29
Bunuel wrote:
If \(h(x) = 2x^3 - 3\) and \(h(m) = -19\), what is the value of m?

(A) –3
(B) –2
(C) 2
(D) 6,856
(E) 6,862


2m^3-3 = -19
2m^3 = -19+3 = -16
m^3 = -8
m=-2

IMO B
User avatar
D
BrushMyQuant
Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 1777
Own Kudos [?]: 2094 [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: If h(x) = 2x^3 3 and h(m) = 19, what is the value of m? [#permalink] New post   24 Aug 2022, 10:44
Expert Reply
Top Contributor
Given that \(h(x) = 2x^3 - 3\) and \(h(m) = -19\) and we need to find the value of m

To find h(m) we need to compare what is inside the bracket () in h(m) and h(x)

=> We need to substitute x with m in \(h(x) = 2x^3 - 3\) to get the value of h(m)

=> \(h(m) = 2m^3 - 3\) = -19 (given)
=> \(2m^3\) = -19 + 3 = -16
=> \(m^3\) = \(\frac{-16}{2}\) = -8 = \((-2)^3\)
=> m = -2

So, Answer will be B
Hope it helps!

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

GMAT Club Bot
gmatclubot
Re: If h(x) = 2x^3 3 and h(m) = 19, what is the value of m? [#permalink]
24 Aug 2022, 10:44
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions