Question

How do you find domain and range for `g(x)=3/x`?

Answer 1

Domain: `RR - {0}`
Range: `RR -{0}`

Explanation:

Given `g(x) = 3/x`

`g(x)` will be defined for all values of `x` except `x=0`
Therefore the domain is all Real values except `0`
There are several ways of expressing this; the Answer (above) shows one way; another is `x in (-oo,0) uu (0,+oo)`

For the range
`color(white)("XXX")g(x) = 3/xcolor(white)("XX")rarrcolor(white)("XX")x = 3/g(x)`
which is defined for all values of `g(x)!=0`
Therefore the range is also all Real values except `0`.