## Set Builder Notation

Hi!

We have 3 functions; f=, g=$$\frac{1}{\sqrt{(2x2 - 1)(x2-1)}}$$ and h= $$\frac{\sqrt{2+x}+x(x^2-1)}{(x^2-1).\sqrt{2+x}}$$

And we want to write the domain of these functions in the set builder notation, which I'm not very familiar with.

Well, I know that for the Domain of g, x ≠ 0 and ±1. How do we write it in that notation? is it [0,∞]\{±1}?

For the domain of f, x must be greater than or equal to -2 and it cannot equal 0 & ±1

In h, domain: x≥-2, & it can't be ±1 as well.

I need to write the domains of these functions in the set builder notation. Not knowing something doesn't mean you're stupid, just asking about it ...

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 Recognitions: Homework Help Science Advisor You could write the domain of x as [-2,∞)\{0,±1} or as Dom(f) = {x |x $\in$ [-2,∞)\{0,±1}} Make sense? Notice the open parentheses on the infinity, since x cannot actually infinity (as it is not a number)
 OK, Nick. How should I express the domains of g and h? Where g = $$\frac{1}{\sqrt{(2x^2 - 1)(x^2-1)}}$$ Would the domain of g be written as: dom(g)= R\{0, ±1} ? And... how would the domain of h be in this notation?

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