Find domain of y = log sin(x-3) + sqrt(16-x2)

Note: The domain of the sum function, difference function, or product function is the intersection of the individual domains of the two functions .

Book: I.A.Maron Problems in Calculus of one variable
1.2.24 (b) Find the domain of the definition of the function:

            y = log sin(x-3) + sqrt(16-x2)