Question

F (x) = 2x g(x) = 4x + 5 Find f (x) + 3g(x)

Answer 1

f(x) + 3g(x) = 14x + 15

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

Explanation:

Step 1: Define

f(x) = 2x

g(x) = 4x + 5

Step 2: Find

1. Substitute in functions: 2x + 3(4x + 5)
2. [Distributive Property] Distribute 3: 2x + 12x + 15
3. Combine like terms: 14x + 15