Find the domain of this equation?

Question

Find the domain of the following equation algebraicly.

f(x)=3x-1/(x+3)(x-1)

Answer 1

f(x) = (3x-1)/((x+3)(x-1))

The domain is all real numbers except x= - 3 and x=1.  If x= - 3 or x=1, then you'd have a denominator of zero, and you can't divide by zero.