Discuss the continuity of the function on its domain, given that .
First establish the domain of the function. Due to the presence of
the square root signs, it is necessary that both of the
expressions that are to be square rooted are non-negative.
Therefore, it must be the case that
So, the domain of the function is
The function is defined at every point in its domain and the rule
for the function is unchanging. Therefore, the function is
continuous over its domain