Question

Given f(x) = -x + 6 write an equation for f(x+3)

Answer 1

Explanation:

f(x)=-x+6

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

Answer 2

f(x + 3) = -x + 3

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Function Notation
• Combining Like Terms

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