Give the domain of f(x) = 3x/x - 2

Hello there. My name is Hayley and I am a college student in Algebra and Trigonometry. I have also completed Math 102 (Intermediate Algebra) and tutored that course for 2 years.

Now for my question.....I am hoping I am just being an airhead right now.

Question: Give the domain:

f(x) = 3x/x - 2

I know ro put the numerator equal to zero, and I get the answer of 0. But how do I put write this as the domain?

Thank you, oh mighty math wizards!
~Hayley

OK, I think this belonged in Algebra. Sorry!!

Anyway....is it written like this?:

(-infinity, 0][0, infinity)

\(\displaystyle \L
\left\{ {x:x \not= 0} \right\} = ( - \infty ,0) \cup (0,\infty )\)

TY

Thank you very much!

Question: Give the domain:

f(x) = 3x/x - 2

============

I have a feeling that this problem is missing parentheses in the denominator (otherwise it reduces to the trivial: 3 - 2 = 1)

So, if it's:

3x/(x-2)

The denoninator can't be zero, so x can be any value except 2.

In set-builder notation: {x|x /= 2}. [That's my version of "not equal"]

Steve