Answer:
g has a domain that contains the domain of f as a subset
Explanation:
The Domain of Real Functions
Real functions take values for the independent variable (usually x). The whole set of those values is called the domain of f.
Function f is defined as

It can only exist when the argument is positive, i.e.


Function g is not explicitly defined but we can see its graph. It's evident its domain is

This interval contains the domain obtained for f, so we can conclude g has a domain that contains the domain of f as a subset