Question

G(n) = 4n h(n) = n2 + 3n Find g(h(n))

Answer 1

g(h(n)) = 4n² + 12n

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

Distributive Property

Algebra I

• Terms/Coefficients
• Function Notation

Algebra II

• Composite Functions

Explanation:

Step 1: Define

g(n) = 4n

h(n) = n² + 3n

g(h(n)) is n = h(n)

Step 2: Find

1. Substitute in function h(n) as n: g(h(n)) = 4(n²+ 3n)
2. [Distributive Property] Distribute 4: g(h(n)) = 4n² + 12n