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  • 23-11-2020
  • Mathematics
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4. If f(x) = 4x-8 and g(x)=x-2, evaluate (f-g)(x).


algebra 2​

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Space
Space Space
  • 23-11-2020

Answer:

(f - g)(x) = 3x - 6

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Combining like terms

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 8

g(x) = x - 2

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

Step 2: Find

  1. Substitute:                              (f - g)(x) = 4x - 8 - (x - 2)
  2. Distribute negative:               (f - g)(x) = 4x - 8 - x + 2
  3. Combine like terms:              (f - g)(x) = 3x - 6
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