Respuesta :

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Answer:

g(f(2)) = 82

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

f(x) = 6x² + 5

g(x) = 3x - 5

Step 2: Find g(f(2))

f(2)

  1. Substitute:                    f(2) = 6(2)² + 5
  2. Exponents:                   f(2) = 6(4) + 5
  3. Multiply:                        f(2) = 24 + 5
  4. Add:                              f(2) = 29

g(f(2))

  1. Substitute:                    g(29) = 3(29) - 5
  2. Multiply:                        g(29) = 87 - 5
  3. Subtract:                       g(29) = 82

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