perplexus.info :: Just Math : Looking for functions II

Looking for functions II (Posted on 2006-10-23)

Determine all real-valued functions f, defined for all x except 0 and 1, such that the following functional equation holds:

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

See The Solution Submitted by JLo

Rating: 4.0000 (1 votes)

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re: Method (only)

| Comment 3 of 4 |

(In reply to Method (only) by Steve Herman)

Serious typo in your last equation: should be y not x. (Obtaining y for the last argument of f is the crux of the method.)

Posted by Richard on 2006-10-23 17:22:49

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