#1

I have a continuous, one to one function f(x). How do I find g(x) such that g(g(x)) = f(x)?

#2

Also, if i forever keep feeding the output of a continuous one to one funtion back into the input, isn't the result also continuous and one to one?

{i mean ...f(f(f(f(...f(x)))...}

How do find the values of x for which this converges to some finite value?

Can I find what the value is?

thanks