Question

If c(x)= 5/x-2 and d(x)=x+3, what is the domain of (cd)(x)

Answer 1

Explanation:

cd(x) would equal c(x) multiplied by d(x) so we get
`(5(x+3))/(x-2)\\` =
`(5x+15)/(x-2)\\`.

The domain of
`(5x+15)/(x-2)` is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).