Question

11) k(n) = n² + 3n; Find k(3n)

Answer 1

k(3n) = 9n² + 9n

General Formulas and Concepts:

Order of Operations: BPEMDAS

• Substitution and evaluation

Explanation:

Step 1: Define

k(n) = n² + 3n

k(3n) is n = 3n

Step 2: Solve

1. Substitute: k(3n) = (3n)² + 3(3n)
2. Exponents: k(3n) = 9n² + 3(3n)
3. Multiply: k(3n) = 9n² + 9n