Respuesta :

Space

Answer:

g(-3) = 0

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) = 2x² + 3x - 9

g(-3) is x = -3

Step 2: Evaluate

  1. Substitute:                    g(-3) = 2(-3)² + 3(-3) - 9
  2. Exponents:                   g(-3) = 2(9) + 3(-3) - 9
  3. Multiply:                        g(-3) = 18 - 9 - 9
  4. Subtract:                       g(-3) = 9 - 9
  5. Subtract:                       g(-3) = 0

We are looking for G(-3) not g(-3). See the difference?

Replace every x you see with -3.

G(-3) = 2(-3)^2 + 3(-3) - 9

G(-3) = 2(9) - 9 - 9

G(-3) = 18 - 18

G(-3) = 0

Got it?

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