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egoroff_w [7]
3 years ago
8

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

Mathematics
1 answer:
olga2289 [7]3 years ago
3 0

Answer:

f · g = 24x² - 52x + 24

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 4x - 6

g(x) = 6x - 4

<u>Step 2: Find f · g</u>

  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
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