Waste less time on Facebook — follow Brilliant.
×

A Simple-Looking Functional Equation

\[f\left(x^n\right) = \left(f(x)\right)^n\]

What are all possible continuous functions \(f\) (maybe with some domain restrictions) such that the equation above holds for \(n=1,2,3,\ldots?\)

Note by Eli Ross
8 months ago

No vote yet
1 vote

Comments

There are no comments in this discussion.

×

Problem Loading...

Note Loading...

Set Loading...