f (x) = 1/x

Q: What is the domain?
A: All values of x except x=0

Q: What is the range?
A: Minus infinity to zero, zero to infinity (not including zero)

I'm pretty sure my answers are right, but I don't know how to represent them using symbols and whatnot. Lend a hand :)

my area uses these symbols
domain is {x|x≠0, xεℝ}
range is {y|y≠0, yεℝ}