What one of the following is correct in respect of \(​f(x)=\frac{1}{\sqrt{|x|-x}}\) and \(g(x)=\frac{1}{\sqrt{x-|x|}}\) ?

1
f(x) has some domain and g(x) has no domain
2
f(x) has no domain and g(x) has some domain
3
f(x) and g(x) have the same domain
4
f(x) and g(x) do not have any domain

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