Question

Use the functions to answer the question.
What is the domain of (f*g)(x)?

Answer 1

\[(f\circ g)(x)=f(~g(x)~)\]Since \(f(x)=\dfrac{2}{x}\) and \(g(x)=|x|-1\); \(f(~g(x)~)=\dfrac{2}{|x|-1}\)

What values of x would cause 0 in denominator (where \(|x|-1=0\)) ?