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Given that f(x) = x2 + 12x + 32 and g(x) = 2 + 4, find (f - g)(x) and
express the result in standard form.

Respuesta :

Space

Answer:

(f - g)(x) = x² + 12x + 26

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = x² + 12x + 32

g(x) = 2 + 4

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

Step 2: Find

  1. Substitute:                         (f - g)(x) = x² + 12x + 32 - (2 + 4)
  2. Combine like terms:         (f - g)(x) = x² + 12x + 32 - 6
  3. Combine like terms:         (f - g)(x) = x² + 12x + 26

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