Question

what is the domain of the function (x)= 1/x?

Answer 1

R-{0}

Answer 2

x=R-{0}

Answer 3

the whole Riemannien sphere: \[ℂ \cup \{∞\}\]

Answer 4

domain should be such that the function is defined all throughout. at x=0, we hav 1/0 which is not defined and hence 0 is excluded.

Answer 5

On the Riemannien sphere 1/0= ∞ and 1/∞ = 0

Answer 6

But of course you can define 1/x in any abstract, multiplicative group as the inverse element. So there are no real boundaries to the domain :-D