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2 years ago

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

Mathematics

1 answer:

Whitepunk [10]2 years ago

8 0

Answer:

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/Coefficients
Function 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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