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In interval notation, would we write that as: \[(0, \infty)\]

Your domain for this should be all real numbers, are you sure it's w^2+1?

and not w^2-1

I am quite sure it is, + 1, and not part of the exponent. Is there a reason you think it is, -1?

or \(\{x\mid x\ne 2\}\)

Yup! Looks good! :)

Thank you, both for your help.

Anytime :)