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

f · g = 24x² - 52x + 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOILFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x - 6

g(x) = 6x - 4

Step 2: Find f · g

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

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