Question

Consider the function F(x) = - 2x + 3x - 8. Determine F(k + 4).

Answer 1

F(k + 4) = k - 4

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Function Notation
• Combining Like Terms

Explanation:

Step 1: Define

F(x) = -2x + 3x - 8

F(k + 4) is x = k + 4

Step 2: Find F(k + 4)

1. Substitute in x: F(k + 4) = -2(k + 4) + 3(k + 4) - 8
2. Distribute -2: F(k + 4) = -2k - 8 + 3k + 12 - 8
3. Combine like terms (k): F(k + 4) = k - 8 + 12 - 8
4. Combine like terms (Z): F(k + 4) = k - 4