Question

How do you find the domain of `p(x) = (x-2)/3 - 1/(3x)`?

Answer 1

`{x in RR | x!=0}`

Explanation:

`p(x)=(x-2)/3-1/(3x)`

From the function we can see that the only value of `x` for which the function is undefined is `x=0`. this would give division by zero, which is undefined.

The domain is therefore all of `RR` except `0`: We can express this as:

`{x in RR | x!=0}`