Question

If f(x) = 4x − 6 and g(x) = 6x − 4, what is f · g?

Answer 1

f · g = 24x² - 52x + 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Terms/Coefficients
• Expand by FOIL
• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

f(x) = 4x - 6

g(x) = 6x - 4

Step 2: Find f · g

1. Substitute in function values: f · g = (4x - 6)(6x - 4)
2. Expand [FOIL]: f · g = 24x² - 16x - 36x + 24
3. [Subtraction] Combine like terms: f · g = 24x² - 52x + 24