Question

F(x)=x+2 g(x)=3x^2-5 find (f x g)(x)

Answer 1

(f · g)(x) = 3x³ + 6x² - 5x - 10

General Formulas and Concepts:

• Distributive Property
• FOIL (First, Outside, Inside, Last)

Explanation:

Step 1: Define

f(x) = x + 2

g(x) = 3x² - 5

Step 2: Find (f · g)(x)

1. Set up: (x + 2)(3x² - 5)
2. FOIL: 3x³ - 5x + 6x² - 10
3. Combine like terms: 3x³ + 6x² - 5x - 10