Question

G(x)=x^2-4

Answer 1

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