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Find the natural domain of the function?

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g(u) = (sqaure root)u - (square root) (7 - u)

asked Oct 30, 2014 in ALGEBRA 2 by anonymous

1 Answer

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The function is g(u) = √u - √(7-u).

For the function g = f - h, the domains are defined as the inrersection of the domains of f and h.

The domain of f(u) = √u is [0, +∞).

The domain of h(u) = √(7-u) ≥ 0 ⇒ 7 ≥ u  ⇒ (0, 7].

The domain of g(u) = √u is (0, 7] [0, +∞) = [0, 7].

answered Oct 30, 2014 by casacop Expert

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