Answer:
The domain of is restricted to
, and the domain of
is restricted to
.
Step-by-step explanation:
From Function Theory we know that domain of a function is the set of values such that an image exist. Let and
the function and its inverse, respectively.
At first glance we notice that function is a second order polynomial and every polinomial is a continuous function and therefore, there exists an image for every element of domain.
But domain of its inverse is restricted to every value of x so that , which means that
.
Finally, we concluded that following answer offers the best approximation to our result:
The domain of is restricted to
, and the domain of
is restricted to
.