(PLEASE ANSWER) 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: a) 36x + 3 b) 36x + 27 c) 16x + 15 d) 81xStep-by-step explanation:f(x) = 4x + 3 g(x) = 9xa) f(g(x)) = 4(9x) + 3 replaced x in f(x) equation with 9x = 36x + 3b) g(f(x)) = 9(4x + 3) replaced x in g(x) with 4x + 3 = 36x + 27c) f(f(x)) = 4(4x + 3) + 3 replaced x in f(x) with 4x + 3 = 16x + 12 + 3 = 16x + 15d) g(g(x)) = 9(9x) replaced x in g(x) with 9x = 81x