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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