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

g(h(n)) = 4n² + 12n

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFunction Notation

Algebra II

Composite Functions

Step-by-step explanation:

Step 1: Define

g(n) = 4n

h(n) = n² + 3n

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

Step 2: Find

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

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