Question

Given the function f(x) = 3x - 2 and g(x) = 5x + 4 , determine each of the following in simplest terms of x.

Answer 1

see explanation

Explanation:

(a)

Substitute x = g(x) into f(x) , that is

f(5x + 4)

= 3(5x + 4) - 2

= 15x + 12 - 2

= 15x + 10

(b)

note (g ￮ f)(x) = g(f(x))

Substitute x = f(x) into g(x) , that is

g(3x - 2)

= 5(3x - 2) + 4

= 15x - 10 + 4

= 15x - 6