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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
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F(x) = x/(x+1). What is f(1/x) in terms of f(x)? f(x) -f(x) [#permalink] New post 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)
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Re: Challenge - function [#permalink] New post 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
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 [#permalink] New post 12 Nov 2007, 19:52
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
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 [#permalink] New post 12 Nov 2007, 20:31
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
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 [#permalink] New post 15 Nov 2007, 02:16
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..


thanks. very helpful
  [#permalink] 15 Nov 2007, 02:16
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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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