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- From: landman@hal.COM (Howard Landman)
- Newsgroups: sci.math
- Subject: Re: 2 questions (GRE Subject test)
- Message-ID: <1iod2vINN9rh@bang.hal.COM>
- Date: 10 Jan 93 05:43:59 GMT
- References: <1992Dec25.040617.26522@news.columbia.edu>
- Organization: HaL Computer Systems, Inc.
- Lines: 9
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- In article <1992Dec25.040617.26522@news.columbia.edu> sla7@cunixa.cc.columbia.edu (Seth Louber Antiles) writes:
- >In general, for f a polynomial, for what g will f(g(x))=f(x) for all x
- >*not* imply that f is a constant? Appreciate simple examples.
-
- Well, clearly g(x) = x places no restriction on f at all, and g(x) = k - x
- for any real k only implies that f is symmetric around k/2 (and therefore of
- even degree).
-
- Howard A. Landman
-