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Reciprocal composition is reciprocal. (Posted on 2014-02-08) Difficulty: 3 of 5
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
Some ThoughtsAnd many more interesting solutions (spoiler?)Steve Herman2014-02-08 13:56:19
Some ThoughtsA slightly more interesting solution (spoiler?)Steve Herman2014-02-08 13:27:57
re: Family Plan (spoiler?)Jer2014-02-08 13:19:40
Some ThoughtsFamily Plan (spoiler?)Steve Herman2014-02-08 11:45:26
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