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  • 21-11-2020
  • Mathematics
contestada

If f(x) = 3x2 - 2 and g(x) = 2x + 4, find (f - g)(x).

Respuesta :

Space
Space Space
  • 21-11-2020

Answer:

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

Pre-Algebra

  • Equality Properties

Algebra

  • Combining like terms
  • Standard Form: ax² + bx + c = 0

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 2

g(x) = 2x + 4

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

Step 2: Find

  1. Substitute:                    (f - g)(x) = 3x² - 2 - (2x + 4)
  2. Distribute -1:                 (f - g)(x) = 3x² - 2 - 2x - 4
  3. Combine like terms:    (f - g)(x) = 3x² - 2x - 6
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