g(x) is periodic with periodic with period 1defined form function f(x)=e^(2x)

(x belongs to[0,1)).then number of solution to the equation g(x)=[x] is -------(where [ ] denotes greatest integer function.) i cant understand the language of the question

(ii)also find the period of h(x)=g(x)+g(|2x|)+|g(3x)|

is there any specific way to find the period of function.

is there any detailed knowledge(question ) about periodicity on this site or any other.