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}

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}