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vodka [1.7K]
3 years ago
14

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

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x² - 2

g(x) = 2x + 4

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

<u>Step 2: Evaluate</u>

  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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