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

 It is currently 21 Jun 2018, 03:36

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
Manager
Joined: 17 Aug 2006
Posts: 86
For which of the following functions f is f(x) = f(1-x) for [#permalink]

### Show Tags

12 Nov 2008, 06:17
For which of the following functions f is f(x) = f(1-x) for all x?

1) 1-x

2) 1-x^2

3) x^2 - (1-x)^2

4) x^2 (1-x)^2

5) x/(1-x)

I'm not sure how to solve.

f(x) = (x^2) (1-x)^2

--== 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.
SVP
Joined: 30 Apr 2008
Posts: 1841
Location: Oklahoma City
Schools: Hard Knocks
Re: ARITH 18 OF 37 [#permalink]

### Show Tags

12 Nov 2008, 07:08
Can you please post all answer choices? Then we'll be able to show you a method to solve the question, and other questions like it.

nfa1rhp wrote:
For which of the following functions f is f(x) = f(1-x) for all x?

I'm not sure how to solve.

f(x) = (x^2) (1-x)^2

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

Manager
Joined: 17 Aug 2006
Posts: 86
Re: ARITH 18 OF 37 [#permalink]

### Show Tags

13 Nov 2008, 09:09
check

The following are all the answer choices.

1) 1-x

2) 1-x^2

3) x^2 - (1-x)^2

4) x^2 (1-x)^2

5) x/(1-x)
Current Student
Joined: 28 Dec 2004
Posts: 3292
Location: New York City
Schools: Wharton'11 HBS'12
Re: ARITH 18 OF 37 [#permalink]

### Show Tags

13 Nov 2008, 10:16
nfa1rhp wrote:
For which of the following functions f is f(x) = f(1-x) for all x?

1) 1-x

2) 1-x^2

3) x^2 - (1-x)^2

4) x^2 (1-x)^2

5) x/(1-x)

x^2(1-x)^2=(1-x)^2(1-(1-x)^2, <-- look at this (1-x)^2(1-1+x)^2=(1-x)^2(x)^2
Manager
Joined: 23 Jul 2008
Posts: 182
Re: ARITH 18 OF 37 [#permalink]

### Show Tags

13 Nov 2008, 11:45
Its a straight 4 just subsitute x and 1-x in all the answer choices clearly 4 is the answer
Manager
Joined: 15 Oct 2008
Posts: 102
Re: ARITH 18 OF 37 [#permalink]

### Show Tags

13 Nov 2008, 11:51
nfa1rhp wrote:
For which of the following functions f is f(x) = f(1-x) for all x?

1) 1-x

2) 1-x^2

3) x^2 - (1-x)^2

4) x^2 (1-x)^2

5) x/(1-x)

I'm not sure how to solve.

f(x) = (x^2) (1-x)^2

What you need to do for this type of question is to replace x with 1-x. And other people already showed you how to do that.

--== 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.
Re: ARITH 18 OF 37   [#permalink] 13 Nov 2008, 11:51
Display posts from previous: Sort by

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

Moderator: chetan2u

 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®.