Respuesta :

Space

Answer:

(g - f)(x) = 6x² - 5x - 2

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x³ - x² + 5x

g(x) = x³ + 5x² - 2

(g - f)(x) is g(x) - f(x)

Step 2: Evaluate

  1. Substitute:                    (g - f)(x) = x³ + 5x² - 2 - (x³ - x² + 5x)
  2. Distribute -1:                 (g - f)(x) = x³ + 5x² - 2 - x³ + x² - 5x
  3. Combine like terms:    (g - f)(x) = 6x² - 5x - 2

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