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Are you sure you typed the function correctly? At the moment you have the solution right there, if you're supposed to find the domain you'd typically have a function like this:
f(x) = 1/x + 2x
Without actually having a answer like you have:
f(x) = 3/x = 6, since that just gives x = 1/2.
sorry hit wrong key
To find the domain you want to know what value x can have while the function still is valid. So the only thing you got to worry about is 3/x.
When does 3/x not evaluate to a correct value?
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I am not understanding this problem
It's not as hard as it seems, the solution is that the function is valid for all values of x except for x = 0, that would evaluate to 3/0 which is invalid. That's basically how you're supposed to see it, what can x be without making the function break the rules of math. :)
Try look at this, more of an explanation of domains and ranges.