Respuesta :

Space

Answer:

g(f(x)) = 6x - 14

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Function Composition

Step-by-step explanation:

Step 1: Define

g(x) = 3x + 1

f(x) = 2x - 5

Step 2: Find

  1. Substitute:                    g(f(x)) = 3(2x - 5) + 1
  2. Distribute 3:                  g(f(x)) = 6x - 15 + 1
  3. Combine like terms:    g(f(x)) = 6x - 14