Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 09:15

# Today:

Memorial Day - GMAT Club Tests are Open without Subscription

### 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: 02 Jul 2007
Posts: 112
Followers: 1

Kudos [?]: 2 [0], given: 0

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

### Show Tags

05 Sep 2007, 07:18
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

For which of the following functions f 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)
VP
Joined: 10 Jun 2007
Posts: 1442
Followers: 7

Kudos [?]: 285 [1] , given: 0

### Show Tags

05 Sep 2007, 07:27
1
KUDOS
gnr646 wrote:
For which of the following functions f 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)

D.

Set x=2, so f(2) = f(-1)
A) f(2) = -1, f(-1) = 2
B) f(2) = -3, f(-1) = 0
C) f(2) = 4-1=3, f(-1) = 1-4=-3
D) f(2) = 4, f(-1) = 4
E) f(2) = -2, f(-1) = -1/2
Manager
Joined: 02 Jul 2007
Posts: 112
Followers: 1

Kudos [?]: 2 [0], given: 0

### Show Tags

05 Sep 2007, 07:29
got it after looking at how people did the previous post on functions (thanks for that):

f(x)=f(1-x)

plug in "1-x" in for each function and set the two equal to each other.

a) 1-x = 1-(1-x); not true
b) 1-x^2=1-(1-x)^2; not true
c) x^2-(1-x)^2=(x-2)^2-(1-(1-x))^2; not true
d) x^2(1-x)^2=(x-1)^2(1-(1-x))2; true
e) x/(1-x)=(x-1)/(1-(1-x)); not true

05 Sep 2007, 07:29
Display posts from previous: Sort by