Answer:
(f ○ g)(2) = 8 , (g ○ f)(- 5) = 22
Explanation:
(a) to evaluate (f ○ g)(2)
evaluate g(2) then substitute the value obtained into f(x)
g(2) =
=
= - 2 , then
f(- 2) = 2(- 2)² = 2(4) = 8
(b)
to evaluate (g ○ f)(- 5)
evaluate f(- 5) then substitute the value obtained into g(x)
f(- 5) = 2(- 5)² = 2(25) = 50 , then
g(50) =
=
= 22