I've been set a question and I just want to verify I have understood it and would like a few pointers on solving it.
-Firstly this is any function that is continuous on the domain [0,1] ?
I.e. f:[0,1] -> Reals
-The group of units is all continuous functions that are invertible on [0,1].
By my understanding: those that have no asymptotes (continuity), and no roots (invertibility) on [0,1].
Is there any way to classify these functions more rigourously?