Respuesta :

Space

Answer:

(f - g)(x) = -x² + 4x + 4

General Formulas and Concepts:

Pre-Algebra

  • Properties

Algebra I

  • Combining like terms
  • Function notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 1

g(x) = x² - 5

(f - g)(x) = f(x) - g(x)

Step 2: Find

  1. Substitute:                    (f - g)(x) = 4x - 1 - (x² - 5)
  2. Distribute:                     (f - g)(x) = 4x - 1 - x² + 5
  3. Combine like terms:    (f - g)(x) = -x² + 4x + 4
(4x -1)-(2x-5)
4x -1 -2x +5
2x +4

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