The domain of the function h(x) = \sqrt{25-x^2}+\sqrt{-(x-2)}+\sqrt{x} is an interval of what width?
+128474 \( h(x) = \sqrt{25-x^2}+\sqrt{-(x-2)}+\sqrt{x}\)
h(x) = sqrt (25 - x^2) + sqrt (2 - x) + sqrt (x)
The first term has a domain of [ -5 , 5 ]
The second term has a domain of ( -inf , 2]
The third term has a domain of [ 0 , inf)
The most restrictive interval is [ 0 ,2 ]
So....the width of the domain interval = 2
