Respuesta :

Space

Answer:

23

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

  • Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = x² - 4

f(x) = -2x - 3

g(-6) is x = -6 for function g(x)

f(-6) is x = -6 for function f(x)

Step 2: Evaluate

g(-6)

  1. Substitute in x:                    g(-6) = (-6)² - 4
  2. Exponents:                          g(-6) = 36 - 4
  3. Subtract:                              g(-6) = 32

f(-6)

  1. Substitute in x:                    f(-6) = -2(-6) - 3
  2. Multiply:                               f(-6) = 12 - 3
  3. Subtract:                              f(-6) = 9

g(-6) - f(-6)

  1. Substitute:                    32 - 9
  2. Subtract:                       23

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