Question

If f(x)=x+7 and 9(x)=1/x-13 what is the domain of (f•g)(x)

Answer 1

The only limitation is x≠0

The interval notation is (-∞,0)∪(0,∞)

Explanation:

Set up the expression.

`(x+7)*((1)/(x)-13)`

Multiply using FOIL.

`(x*(1)/(x))+(x*-13)+(7*(1)/(x))+(7*-13)`

`1-13x+(7)/(x)-91`

`-13x+(7)/(x)-91`

Find the Domain.

The only limitation is x≠0

The interval notation is (-∞,0)∪(0,∞)