Respuesta :

Answer:

Step-by-step explanation:

f(x)=-x+6

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

Space

Answer:

f(x + 3) = -x + 3

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Function Notation
  • Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = -x + 6

f(x + 3) is x = x + 3

Step 2: Evaluate

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

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