Question

If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).

Answer 1

(f + g)(x) = 5x + 3

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

Algebra I

• Terms/Coefficients
• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

f(x) = 2x - 6

g(x) = 3x + 9

(f + g)(x) is f(x) + g(x)

Step 2: Find

1. Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9
2. Combine like terms: (f + g)(x) = 5x + 3