It is currently 15 Nov 2018, 10:43
My Tests

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.

GRE prep Club test question; Question ID Q02-43

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Intern
Intern
Joined: 12 May 2016
Posts: 12
Followers: 0

Kudos [?]: 9 [1] , given: 3

GRE prep Club test question; Question ID Q02-43 [#permalink] New post 26 Jun 2017, 10:25
1
This post received
KUDOS
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Assume the function \(f(x)=(x−5)^2+ sqrt(x+3) + \frac{5}{(x+2)}\)


For which of the values f(x) is defined?
Indicate all possible values.
a. 6
b. 5
c. 4
d. 3
e. 2
f. 1

Answer is d and f

i dont understand the explaination


or f(x) to be defined, the individual terms of f(x) need to be real. The conditions are analysed below:

(x−5)^2 will be real regardless any value of x<
√x+3 will be defined if x≥−3 So, D, E , F are possible.
5/(x+2) will be defined if the denominator (x+2)≠0(. So x cannot be -2. So the only options remain are D and F.
[Reveal] Spoiler: OA
1 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [1] , given: 375

CAT Tests
Re: GRE prep Club test question; Question ID Q02-43 [#permalink] New post 26 Jun 2017, 15:18
1
This post received
KUDOS
Expert's post
The question had a typo. The last term is \(\frac{5}{x-2}\).

If any individual term becomes undefined or infinity then the function becomes undefined or infinity.
Since complex number / infinity + real number is complex number or infinity.

So you have to check each term one by one to make sure they comply with the definitions.

Hope you get this!
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 12 May 2016
Posts: 12
Followers: 0

Kudos [?]: 9 [1] , given: 3

Re: GRE prep Club test question; Question ID Q02-43 [#permalink] New post 26 Jun 2017, 19:45
1
This post received
KUDOS
BUt all the values fit except for 2..then hoow is the answer d and f only?
1 KUDOS received
Intern
Intern
Joined: 12 May 2016
Posts: 12
Followers: 0

Kudos [?]: 9 [1] , given: 3

Re: GRE prep Club test question; Question ID Q02-43 [#permalink] New post 27 Jun 2017, 06:27
1
This post received
KUDOS
i still dont get it(i feel dumb!).. sqrt(x+3) >=0 for it to be real... so x+3>=0 , hence x>=-3 and all the values in the answer choices are greater than -3; we obviously rule out 2 because the typo u mention... then how is the answer d and f..

Please explain...This question is making me doubt mt sanity!!
1 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [1] , given: 375

CAT Tests
Re: GRE prep Club test question; Question ID Q02-43 [#permalink] New post 27 Jun 2017, 10:41
1
This post received
KUDOS
Expert's post
Hi,

I am sorry the answers of question was wrong. You are right all the values greater than equal to 3 except 2 are correct answer.

You had it absolutely right from the start.


I have fixed the question.

Sincerely,
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 12 May 2016
Posts: 12
Followers: 0

Kudos [?]: 9 [1] , given: 3

Re: GRE prep Club test question; Question ID Q02-43 [#permalink] New post 27 Jun 2017, 11:41
1
This post received
KUDOS
thank u for giving my sanity back :)
Re: GRE prep Club test question; Question ID Q02-43   [#permalink] 27 Jun 2017, 11:41
Display posts from previous: Sort by

GRE prep Club test question; Question ID Q02-43

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.