Let f be a function such that f(ry) = f(y) + yf(x) for all x,y R. Prove that f(1) = 0 and that f(u") = nu-f(u) for all u

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Let f be a function such that f(ry) = f(y) + yf(x) for all x,y R. Prove that f(1) = 0 and that f(u") = nu-f(u) for all u

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Let F Be A Function Such That F Ry F Y Yf X For All X Y R Prove That F 1 0 And That F U Nu F U For All U 1
Let F Be A Function Such That F Ry F Y Yf X For All X Y R Prove That F 1 0 And That F U Nu F U For All U 1 (8.25 KiB) Viewed 40 times
Let f be a function such that f(ry) = f(y) + yf(x) for all x,y R. Prove that f(1) = 0 and that f(u") = nu-f(u) for all u E R and n € N.
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