Find the domain of the function: (I'll post it below)

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Find the domain of the function: (I'll post it below)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1432741356266:dw|
http://www.mathsisfun.com/sets/domain-range-codomain.html
I know what is the definition of domain. I just need help in how to find it with the function that I posted.

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Other answers:

yes it has examples in the link
well it doesn't give an example on how to find domain with 4th root functions
the stuff inside radical must be \(\ge 0\)
\[\large 4-x^4~\ge~ 0\] solve \(x\)
oh okay. |dw:1432741753251:dw|
\[x^4~\le ~4 \] \[-\sqrt{2}\le x\le \sqrt{2}\]
the book says the answer is \(\sf [- \sqrt{2}, \sqrt{2}]\) yes that will be right. But how did you get \( \sqrt{2}\)? Is 4th root of 4 sqrt of 2? how?

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