Respuesta :

Space

Answer:

(f - g)(x) = x² + x - 11

General Formulas and Concepts:

Pre-Algebra

  • Properties

Algebra I

  • Combining like terms

Step-by-step explanation:

Step 1: Define

f(x) = x² + 2x - 6

g(x) = x + 5

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

Step 2: Find

  1. Substitute:                    (f - g)(x) = x² + 2x - 6 - (x + 5)
  2. Distribute -1:                 (f - g)(x) = x² + 2x - 6 - x - 5
  3. Combine like terms:    (f - g)(x) = x² + x - 11