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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## When f(x)=x^3+1/x3, which of the following is equal to f(-1/ tagged by: Max@Math Revolution ##### This topic has 2 expert replies and 0 member replies ### GMAT/MBA Expert ## When f(x)=x^3+1/x3, which of the following is equal to f(-1/ ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [GMAT math practice question] When f(x)=x^3+1/x3, which of the following is equal to f(-1/x)? A. f(x) B. -f(x) C. 1/f(x) D. 1-f(x) E. (f(x))^3 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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Max@Math Revolution wrote:
[GMAT math practice question]

When f(x)=xÂł + 1/xÂł, which of the following is equal to f(-1/x)?

A. f(x)
B. -f(x)
C. 1/f(x)
D. 1-f(x)
E. (f(x))^3
GIVEN: f(x)=xÂł + 1/xÂł
So, f(-1/x) = (-1/x)Âł + 1/(-1/x)Âł
= -1/xÂł + 1/(-1/xÂł)
= -1/xÂł - xÂł
= -(1/xÂł + xÂł)
= -(xÂł + 1/xÂł)
= -f(x)

Cheers,
Brent

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f(-1/x) = (-1/x)^3 + 1/{1/(-1/x)^3} = -1/x^3 - x^3 = -(x^3+1/x^3) = -f(x).

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