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

#1**+1 **

\(w(x) = \sqrt{x-2} + \sqrt[3]{x-3}~\)

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