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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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re: Family Plan (spoiler?) | Comment 2 of 4 |
(In reply to Family Plan (spoiler?) by Steve Herman)

I suppose I ignored constant functions as solutions. Your solutions are good.  Are there more interesting ones?
  Posted by Jer on 2014-02-08 13:19:40

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