Question

Find the rules for (f∘g)(x) and (g∘f)(x) and give the domain of each composite function.
f(x) = x^2 g(x) = √(1-x)
The Domain of (f∘g)(x) is :
(f∘g)(x) =
The Domain of (g∘f)(x) is :
(g∘f)(x) =

Answer 1

(f∘g)(x) = [ √(1-x) ]^2 = 1-x all real x

(g∘f)(x) = √(1-x^2) which is imaginary for |x| >1 so only from x = -1 to x =+1

Answer 2

wait that is wrong