chandlerhanaway
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  • 15-12-2020
  • Mathematics
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Space
Space Space
  • 15-12-2020

Answer:

C. (f - g)(x) = 3ˣ - 2x + 14

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Function Notation
  • Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 3ˣ + 10

g(x) = 2x - 4

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

Step 2: Find (f - g)(x)

  1. Substitute:                    (f - g)(x) = 3ˣ + 10 - (2x - 4)
  2. Distribute -1:                 (f - g)(x) = 3ˣ + 10 - 2x + 4
  3. Combine like terms:    (f - g)(x) = 3ˣ - 2x + 14
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