Which is the domain of the function f(x)=x/(3x-1)?

We'll establish the domain knowing the fact that the division by 0 is not allowed.

For this reason, we'll find out first, the x values for the denominator is cancelling.

3x-1 = 0

3x=1

x=1/3

From here we conclude that the function is not defined for x=1/3

So, the domain of definition is:

R (the real set of numbers)-{1/3}