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

f(x)=x/3x-1

First we need
to
determine x values where f(x) is not defined. Since f is a ratio, then the function is
not
defined when 3x-1=0

3x-1=0

==>
x= 1/3

then the domain is R-{1/3}