Question

11. f(x) = x + 3, g(x) = -x + 2. Find (f + g)(x)

Answer 1

(f + g)(x) = 5

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) = x + 3

g(x) = -x + 2

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

Step 2: Find

1. Substitute in function values: (f + g)(x) = x + 3 - x + 2
2. [Subtraction] Combine like terms (x): (f + g)(x) = 3 + 2
3. Add: (f + g)(x) = 5