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sashaice [31]
3 years ago
14

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

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

g(h(n)) = 4n² + 12n

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Function Notation

<u>Algebra II</u>

  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

g(n) = 4n

h(n) = n² + 3n

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

<u>Step 2: Find</u>

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