To find the domain restrictions, we just need to find the values that make the denominator = 0
So
x^2 + 2x - 3 = 0 factor
(x + 3) ( x - 1) = 0
Setting each fact or to 0 and solving for x we have that
x + 3 = 0 x - 1 = 0
x = -3 x = 1
So x cannot equal -3 or 1