Question

G(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)

Answer 1

11

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

Explanation:

Step 1: Define

g(x) = x³ - 4

h(x) = x² + 2

h(-2) is x = -2

g(-1) is x = -1

Step 2: Find h(-2) - g(-1)

1. Substitute: ((-2)² + 2) - ((-1)³ - 4)
2. Exponents: (4 + 2) - (-1 - 4)
3. Add/Subtract: 6 - (-5)
4. Subtract: 11