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Find the domain of the given function: f(h)= 2h + h1/2 + 1

Question

Find the domain of the given function: f(h)= 2h + h1/2 + 1

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Solution

The domain of a function is the set of all possible input values (often "x" or "h" values) which will output real numbers. In this case, the function is f(h)= 2h + h^(1/2) + 1.

The square root function (h^(1/2)) is only defined for h >= 0 in the real number system. Therefore, the domain of the function f(h) is all real numbers greater than or equal to 0.

In interval notation, this is written as [0, ∞).

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