What is the domain of the function f (x) = 2x / (3x^2 - 3

The domain of the function in this case will be for when the denominator is different from zero:

3x ^ 2 - 3 = 0

3x ^ 2 = 3

x ^ 2 = 3/3

x ^ 2 = 1

x = + / - 1

Therefore the domain of this function are all reals without including x = 1 and x = - 1