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

It is currently 17 Aug 2018, 16:01

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

For which of the following functions is f(x)=f(1-x) for all

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 13 Mar 2007
Posts: 98
For which of the following functions is f(x)=f(1-x) for all  [#permalink]

Show Tags

New post 06 May 2008, 17:53
1
For which of the following functions is f(x)=f(1-x) for all x?

a) f(x) = 1-x
b) f(x) = 1 - (x^2)
c) f(x) = (x^2) - (1-X)^2
d) f(x) = (x^2)*((1-x)^2)
e) f(x) = x/(1-x)

OA is D. Please explain your answer. Thanks!

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2008
Posts: 291
Location: Bangalore, India
Schools: R1:Cornell, Yale, NYU. R2: Haas, MIT, Ross
Re: A GMATPrep Question  [#permalink]

Show Tags

New post 06 May 2008, 18:42
1
Hi this may not be the quickest way but it can be done within 2 mins.

f(x)=f(1-x)

plug in numbers:
Which equation follows the rule that f(2)=f(1-2)=f(-1)

If you plug in the values of f(2) and f (-1) into each equation you will find that only equation D satisfies this rule.

Therefore the answer should be D
Director
Director
avatar
Joined: 10 Sep 2007
Posts: 909
Re: A GMATPrep Question  [#permalink]

Show Tags

New post 06 May 2008, 18:43
1
Replace x by 1-x and your answer should still look like it was earlier.

You can do for all but I am doing just for your answer.
In this equation replace x by 1-x f(x) = (x^2)*((1-x)^2)
you get f(1-x) = (1-x)^2*((1-1+x)^2) = (1-x)^2*x^2 which is same as f(x)

So you have the answer D.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7747
Premium Member
Re: For which of the following functions is f(x)=f(1-x) for all  [#permalink]

Show Tags

New post 23 Oct 2017, 16:46
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.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: For which of the following functions is f(x)=f(1-x) for all &nbs [#permalink] 23 Oct 2017, 16:46
Display posts from previous: Sort by

For which of the following functions is f(x)=f(1-x) for all

  post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderator: chetan2u

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.