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Need functions help asap (domain)

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What is the domain of the function $$w(x) = \sqrt{x-2} + \sqrt[3]{x-3}~?$$ Express your answer in interval notation.

Guest Mar 15, 2018
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$$w(x) = \sqrt{x-2} + \sqrt[3]{x-3}~$$

The domain is that which is the most restrictive for both parts of the function

The second term  has a domain of all real numbers because we can take the cube root of all real numbers

However.....the frist term is only defined from  [2, inf)

So.....this is the domain

CPhill  Mar 15, 2018