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| Functional equation leads to another (Posted on 2020-10-24) |
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A real-valued function f satisfies for all reals x and y the equality
f(xy)=f(x)y+xf(y)
Prove that this function satisfies for all reals x and y≠0 the equality
f(x/y)=(f(x)y-xf(y))/y2
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 | Solution | Steve Herman | 2020-10-24 08:10:04 |
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