What is the domain and the range for the equation x^2 + y^2 + 4x + 6y - 12 = 0 ?

Answer 1

you have to specify domain of <variable>, and range of <variable1>.

So what are you asking?

is this
(X+2)^2 + (y+3)^2=5^2

The problem here on this circle, is that x goes from -2+-5 and y goes from -3+-5

It is not clear what is the independent and dependent variable. Frankly, I would call both of them domains.