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f(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)
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Sagot :

Space

Answer:

f(x) - g(x) = 3x² - 3x + 8

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

Distributive Property

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x² - x + 5

g(x) = 2x - 3

Step 2: Find f(x) - g(x)

  1. Substitute in function values:                                                                          f(x) - g(x) = 3x² - x + 5 - (2x - 3)
  2. [Distributive Property] Distribute negative:                                                    f(x) - g(x) = 3x² - x + 5 - 2x + 3
  3. [Subtraction] Combine like terms (x):                                                              f(x) - g(x) = 3x² - 3x + 5 + 3
  4. [Addition] Combine like terms:                                                                        f(x) - g(x) = 3x² - 3x + 8
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