Respuesta :

Space

Answer:

B. 3x - 7

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
  • Functions
  • Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x - 3

g(x) = x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

  1. Substitute in functions:                                                                                     (f - g)(x) = 4x - 3 - (x + 4)
  2. [Distributive Property] Distribute negative:                                                    (f - g)(x) = 4x - 3 - x - 4
  3. [Subtraction] Combine like terms (x):                                                              (f - g)(x) = 3x - 3 - 4
  4. [Subtraction] Combine like terms:                                                                   (f - g)(x) = 3x - 7
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