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# if the function F is defined by F(x)=x^2+1/x^2 for all

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Intern
Joined: 08 Nov 2008
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if the function F is defined by F(x)=x^2+1/x^2 for all [#permalink]

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19 Nov 2008, 20:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

if the function F is defined by F(x)=x^2+1/x^2 for all nonzero numbers X, then F(-1/X)=
A. –1/f(x)
B. 1/f(x)
C. 1-f(x)
D. –f(x)
E. f(x)

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SVP
Joined: 29 Aug 2007
Posts: 2472

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19 Nov 2008, 21:15
petercao wrote:
if the function F is defined by F(x)=x^2+1/x^2 for all nonzero numbers X, then F(-1/X)=

A. –1/f(x)
B. 1/f(x)
C. 1-f(x)
D. –f(x)
E. f(x)

E. f(x)

1. F (x) = x^2 + 1/(x^2)
2. F (-1/X) = (1/x^2) + 1/(1/x^2) = (1/x^2) + x^2

so f(x) = f(-1/x)
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Manager
Joined: 09 Jul 2008
Posts: 111

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Location: Dallas, TX
Schools: McCombs 2011

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19 Nov 2008, 21:56
Another E. Squaring does away with the negative.

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Re: F--25   [#permalink] 19 Nov 2008, 21:56
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# if the function F is defined by F(x)=x^2+1/x^2 for all

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