Looks like all real numbers to me, but then again it could be the intersection of the imaginary numbers and the friendly numbers. You never know with this sort of thing.
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5
The domain of f is x is R (if imaginary roots are permitted, and there is nothing in the question to suggest otherwise). The domain of g is R excluding x = 5 So the domain of f + g is R excluding x = 5 and the domain of f/g is R excluding x = 0
-3
x can have any value in the domain.
Y = x squared -4x plus 3 is an equation of a function. It is neither called a domain nor a range.