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# F(x) = x/(x+1). What is f(1/x) in terms of f(x)? f(x) -f(x)

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CEO
Joined: 21 Jan 2007
Posts: 2770
Location: New York City
Followers: 8

Kudos [?]: 232 [0], given: 4

F(x) = x/(x+1). What is f(1/x) in terms of f(x)? f(x) -f(x) [#permalink]  12 Nov 2007, 13:44
F(x) = x/(x+1).
What is f(1/x) in terms of f(x)?

f(x)
-f(x)
1/f(x)
1-F(x)
none of the above

can someone give me a step by step breakdown? I got stuck after 1/(1+x)
Senior Manager
Joined: 01 Sep 2006
Posts: 302
Location: Phoenix, AZ, USA
Followers: 1

Kudos [?]: 13 [0], given: 0

Re: Challenge - function [#permalink]  12 Nov 2007, 13:48
bmwhype2 wrote:
F(x) = x/(x+1).
What is f(1/x) in terms of f(x)?

f(x)
-f(x)
1/f(x)
1-F(x)
none of the above

can someone give me a step by step breakdown? I got stuck after 1/(1+x)

f(1/x) = (1/x)/((1/x)+1)==> 1/(1+x)

trying chice D 1-Fx

1- x/(1+x)=== > x+1-x/(1+x)===> 1/(1+x)

so we can see f(1/x)= 1/(1+x) == 1-f(x)

Answe D
Current Student
Joined: 28 Dec 2004
Posts: 3404
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 159 [0], given: 2

after you have broken down to (1/1+x)

test a number, say x=2...

f(2)=2/3

f(1/2)=1/3

which is same as 1-f(x)...

D it is..
Director
Joined: 09 Aug 2006
Posts: 767
Followers: 1

Kudos [?]: 49 [0], given: 0

fresinha12 wrote:
after you have broken down to (1/1+x)

test a number, say x=2...

f(2)=2/3

f(1/2)=1/3

which is same as 1-f(x)...

D it is..

Solved it the same way to get D.
CEO
Joined: 21 Jan 2007
Posts: 2770
Location: New York City
Followers: 8

Kudos [?]: 232 [0], given: 4

fresinha12 wrote:
after you have broken down to (1/1+x)

test a number, say x=2...

f(2)=2/3

f(1/2)=1/3

which is same as 1-f(x)...

D it is..

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