Question

if g(x)=sqrt(x+1) and f(x)=(1/x^2-1) then how do you find the
domain of (f o g)(x)

Answer 1

find first (f o g)(x)

Answer 2

(f o g)(x)=f(g(x))=1/(((sqrt(x+1))^2-1)=1/x

Answer 3

so domain is R-{0}