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An increasing function equation (
Posted on 20210124
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Find all strictly increasing functions f:N>N such that (f(x) + f(y))/(1 + f(x + y)) is a nonzero natural number, for all x, y∈N.
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Submitted by
Danish Ahmed Khan
Rating:
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A family of functions
 Comment 1 of 2
f(x) = kx + 1 works, where k is an integer > 0
Then
(f(x) + f(y))/(1 + f(x + y)) = 1
I don't offhand see anything else that works.
Posted by
Steve Herman
on 20210124 20:22:37
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