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Determine-all-functions-f-R-R-such-that-the-equality-f-x-y-f-x-f-y-holds-for-all-x-y-R-Here-by-x-we-denote-the-greatest-integer-not-exceeding-x-




Question Number 117848 by john santu last updated on 14/Oct/20
Determine all functions f:R→R  such that the equality f([x] y)= f(x) [f(y) ]  holds for all x,y ∈R . Here  by [x] we   denote the greatest integer not exceeding x.
Determineallfunctionsf:RRsuchthattheequalityf([x]y)=f(x)[f(y)]holdsforallx,yR.Hereby[x]wedenotethegreatestintegernotexceedingx.

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