Question 707830
xy = 3


y = 3/x


So this is a function. This is a function because you can plug in any x number and get EXACTLY ONE y value as an output.


The variable x can be any number but it can't equal 0 because you can't divide by zero.


So that's why the domain is (- infinity, 0) union (0, infinity)



Similarly, if you solve for x, you get


x = 3/y


and the range will be any y value but y can't equal zero either.


So the range is the same as the domain, which means the range is: (- infinity, 0) union (0, infinity)