SOLUTION: Find a family of fuctions such that f(xy)=f(x)f(y). Explain please.

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Question 1172408: Find a family of fuctions such that f(xy)=f(x)f(y). Explain please.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
f%28xy%29=f%28x%29f%28y%29

makes me think of this identity:

%28xy%29%5En=x%5En%2Ay%5En

So one family of functions would be gotten by defining f(x) as

f%28x%29+=+x%5En for any value of n.

Edwin