Question

Find the domain of the function ? what is the only value of x not in the domain answer in fraction form

Answer 1

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,

`f(x)=(1)/(6x-2)`

Suppose that the denominator is equal to zero; then,

`\begin{gathered} 6x-2=0 \\ \Rightarrow6x=2 \\ \Rightarrow x=(2)/(6) \\ \Rightarrow x=(1)/(3) \end{gathered}`

Therefore, the only value of x not included in the domain of f(x) is x=1/3. The answer is 1/3.