Q:

PLEASE HELP!!!!!!! For f(x) = 4x + 3 and g(x) = 9x find the following composite functions and state the domain of each (a) f o g (b) g o f (c) f o f (d) g o g (a) (f o g)(x) =

Accepted Solution

A:
Answer:Step-by-step explanation:For f(x) = 4x + 3 and g(x) = 9x(a) (f o g) (x)= f (g (x))= f (9x)= 4(9x) +3= 36x + 3Its domain is any real number.(b) (g o f) (x)= g (f (x))= g (4x + 3)= 9 (4x + 3)= 36x + 27Again its domain is any real number.(c) (f o f) (x)= f (f (x))= f (4x + 3)= 4(4x + 3) + 3= 16x + 12 + 3= 16x + 15Again its domain is any real number.(d) (g o g) (x)= g ( g (x))= g (9x)= 9(9x)= 81xAgain its domain is any real number.