Answer:
a) 9*x + 27
b) 9*x+3
c) 45
d) 21
Step-by-step explanation:
since (f o g)(x) = f (g(x)) , then
a) (f o g)(x) = f (x + 3) = 9*(x+3) = 9*x + 27
similarly
b) (g o f)(x) = g (f(x)) = g ( 9x) = (9*x)+3 = 9*x+3
c) for x=2
(f o g)(2) = 9*2 + 27 = 45
d) for x=2
(g o f )(2) = 9*2 +3 = 21
thus we can see that the composition of functions is not necessarily commutative
