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let f:R -> R be a function satisfying f(x)f(y) = f(x-y). Find all the possible values for f(2017)
(edited 1 month ago)
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Original post by yi123456
let f:R -> R be a function satisfying f(x)f(y) = f(x-y). Find all the possible values for f(2017)

What are your thoughts / what have you tried so far?
Since you didn't show your work/thoughts...
If you're looking for a first step, a common tactic to functional equations is to find out what f(0) could be.
(edited 1 month ago)

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