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

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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}

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