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

Question

anonymous · Answer

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 $$x \neq 1/3$$

anonymous · Answer

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anonymous · Answer

Now what about the infinite union?

mathteacher1729 · Answer

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: $$(-\infty , \frac{1}{3}) \cup (\frac{1}{3}, \infty $$

mathteacher1729 · Answer

I forgot to close the parenthesis:

$$(-\infty, \frac{1}{3}) \cup (\frac{1}{3}, \infty)$$