Question

Ind f(x+h) when f(x) = 3x- 4x^2

Answer 1

f(x + h) = -4x² - 4h² - 8hx + 3x + 3h

General Formulas and Concepts:

Algebra I

• Function Notation
• Expand by FOIL (First Outside Inside Last)
• Combining Like Terms

Explanation:

Step 1: Define

f(x) = 3x - 4x²

f(x + h) is x = x + h

Step 2: Evaluate

1. Substitute: f(x + h) = 3(x + h) - 4(x + h)²
2. Expand [FOIL]: f(x + h) = 3(x + h) - 4(x² + 2hx + h²)
3. Distribute: f(x + h) = 3x + 3h - 4x² - 8hx - 4h²
4. Rewrite: f(x + h) = -4x² - 4h² - 8hx + 3x + 3h