The range of the function y = 3x-1 / X

The range of the function y = 3x-1 / X

A:
y=x/(3x-1)
=(1/3)(3x-1+1)/(3x-1)
=1/3+(1/3)/(3x-1)
Because: (1 / 3) / (3x-1) ≠ 0
So: y ≠ 1 / 3
So: the range is (- ∞, 1 / 3) ∪ (1 / 3, + ∞)