prove f(x)f(y)=f(xy),f(1)=1⟺f(x)=xk(k real) for f:R+→R+
I find f(ar)=f(a)r for rational r, but I cannot move to the next step.
I have injection f:A→B and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...
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