The domain of the function h(x) = sqrt(25 - x^2) + sqrt(x + 25) is an interval of what width?
The domain of sqrt(25 - x2) is [-5, 5].
The domain of sqrt(x + 25) is [-25, infinity)
Since the domain of sqrt(25 - x2) is completely contained in the domain of sqrt(x + 25), the domain of the sum
is the intersection of these two domains: [-5, 5].