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3 years ago

G(x)=x^2-4

Mathematics

1 answer:

andriy [413]3 years ago

6 0

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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)

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

f(-6)

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

g(-6) - f(-6)

Substitute: 32 - 9
Subtract: 23

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