Question

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

Answer 1

Answer:

The only limitation is x≠0

The interval notation is (-∞,0)∪(0,∞)

Step-by-step explanation:

Set up the expression.

$(x+7)*(\frac{1}{x}-13)$

Multiply using FOIL.

$(x*\frac{1}{x})+(x*-13)+(7*\frac{1}{x})+(7*-13)$

$1-13x+\frac{7}{x}-91$

$-13x+\frac{7}{x}-91$

Find the Domain.

The only limitation is x≠0

The interval notation is (-∞,0)∪(0,∞)