Notice that f(x) is a rational function. In general, a rational function is defined for all values of the variable except for those that make the denominator equal to zero.
In our case,
[tex]f(x)=\frac{1}{6x-2}[/tex]
Suppose that the denominator is equal to zero; then,
[tex]\begin{gathered} 6x-2=0 \\ \Rightarrow6x=2 \\ \Rightarrow x=\frac{2}{6} \\ \Rightarrow x=\frac{1}{3} \end{gathered}[/tex]
Therefore, the only value of x not included in the domain of f(x) is x=1/3. The answer is 1/3.
