GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Sep 2019, 11:03

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.

Close

Request Expert Reply

Confirm Cancel

Given that g(h(x)) = 2x^2 + 3x, and h(g(x)) = x^2 + 4x - 4 for all the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Director
Director
avatar
D
Joined: 19 Oct 2018
Posts: 880
Location: India
Premium Member CAT Tests
Given that g(h(x)) = 2x^2 + 3x, and h(g(x)) = x^2 + 4x - 4 for all the  [#permalink]

Show Tags

New post Updated on: 10 Aug 2019, 16:50
12
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

24% (02:31) correct 76% (02:09) wrong based on 29 sessions

HideShow timer Statistics

Given that \(g(h(x))= 2x^2+3x\), and \(h(g(x))=x^2+4x-4\) for all the real values of x. Which of the following could be the value of g(-4)?

A. -3
B. -2
C. -1
D. 1
E. 2

Originally posted by nick1816 on 09 Aug 2019, 19:06.
Last edited by nick1816 on 10 Aug 2019, 16:50, edited 2 times in total.
Director
Director
avatar
D
Joined: 19 Oct 2018
Posts: 880
Location: India
Premium Member CAT Tests
Re: Given that g(h(x)) = 2x^2 + 3x, and h(g(x)) = x^2 + 4x - 4 for all the  [#permalink]

Show Tags

New post 10 Aug 2019, 23:04
At x= -4, \(x^2+4x-4\)= -4 or x

\(g(h(x))= 2x^2+3x\)
Put x= g(x)

\(g(h(g(x)))= 2[g(x)]^2+3[g(x)]\)

\(g(x^2+4x-4)= 2[g(x)]^2+3[g(x)]\)

put x=-4

\(g(-4)= 2[g(-4)]^2+3[g(-4)]\)

\(2[g(-4)]^2+2[g(-4)] = 0\)

g(-4)= 0 or -1

C


nick1816 wrote:
Given that \(g(h(x))= 2x^2+3x\), and \(h(g(x))=x^2+4x-4\) for all the real values of x. Which of the following could be the value of g(-4)?

A. -3
B. -2
C. -1
D. 1
E. 2
GMAT Club Bot
Re: Given that g(h(x)) = 2x^2 + 3x, and h(g(x)) = x^2 + 4x - 4 for all the   [#permalink] 10 Aug 2019, 23:04
Display posts from previous: Sort by

Given that g(h(x)) = 2x^2 + 3x, and h(g(x)) = x^2 + 4x - 4 for all the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne