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.
(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