Question

What is the domain and range of `f(x) = 10/x`?

Answer 1

Domain of `f(x)=10/x` is `(-oo,0)uu(0,+oo)`

Range of `f(x)=10/x` is also `(-oo,0)uu(0,+oo)`

Explanation:

`f(x)` is defined for all Real values of `x` except `x=0`; so the Domain is all `RR-0` (which is another way of writing the union of open sets shown above).

Conversely, any Real value of `y` except `y=0` can be solved for some value of `x`; so the Range is all `RR-0`.