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The domain of the function h(x) = sqrt(25 - x^2) + sqrt(x + 25) is an interval of what width?

 Mar 4, 2021
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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].

 Mar 4, 2021

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