perplexus.info :: Just Math : Reciprocal composition is reciprocal.

Reciprocal composition is reciprocal. (Posted on 2014-02-08)

Find, if possible, two functions f and g with:

f(x) ≠ g(x)

g(x) = 1/f(x)

g(f(x)) = 1/f(g(x))

for all x in the respective domains.

No Solution Yet Submitted by Jer

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Subject	Author	Date
And many more interesting solutions (spoiler?)	Steve Herman	2014-02-08 13:56:19
A slightly more interesting solution (spoiler?)	Steve Herman	2014-02-08 13:27:57
re: Family Plan (spoiler?)	Jer	2014-02-08 13:19:40
Family Plan (spoiler?)	Steve Herman	2014-02-08 11:45:26

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