## anonymous 5 years ago How do I find the domain of the function in this problem? f(x)=x/3x-1

1. anonymous

The domain required, if we're talking about only real numbers here, is when imputing an x into the denominator to make the denominator NOT 0. Therefore, the domain is when $x \neq 1/3$

2. anonymous

3. anonymous

Now what about the infinite union?

4. mathteacher1729

Now what about the infinite union? If your function is $f(x)=\frac{x}{3x-1}$ the domain is exactly $x\neq \frac{1}{3}$. Representing this as a union would be: $(-\infty , \frac{1}{3}) \cup (\frac{1}{3}, \infty$

5. mathteacher1729

I forgot to close the parenthesis: $(-\infty, \frac{1}{3}) \cup (\frac{1}{3}, \infty)$