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Functional equation leads to another (Posted on 2020-10-24) Difficulty: 1 of 5
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

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionSolutionSteve Herman2020-10-24 08:10:04
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