Question

Let the domain and codomain of functions f and g be the set of integers, f(x) = 2x+3, g(x) = 3x+2 What is the composition of f and g, and the composition of g and f, respectively? g

Answer 1

Answer:

Composition of f and g = 6x + 7

Composition of g and f = 6x + 11

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 3x + 2

f(g(x)) = 2(g(x)) + 3 = 2(3x + 2) + 3 = 6x + 4 + 3 = 6x + 7

g(f(x)) = 3(f(x)) + 2 = 3(2x + 3) + 2 = 6x + 9 + 2 = 6x + 11