It is difficult to say because of uncertainty as to what xx-4 represents.
x2 - 4 = 4 gives x2 = 8 so x = ± 2*sqrt(2)
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The domain can be anything you like: a single element, all real numbers, all complex numbers, etc.
yes. it is a function
It depends on the domain but, if the domain is the real numbers, so is the range.
Assuming the domain and range are both the real numbers (or rationals): Yes, it is 1 to 1 Yes, it is onto and the inverse is x = (y-3)/4
The range depends on the domain. If the domain is the complex field, the range is also the whole of the complex field. If the domain is x = 0 then the range is 4.