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

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


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



cool cool cool

CPhill  Mar 15, 2018

6 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.