Question

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Answer 1

C. 5x - 1

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) = 3x - 2

g(x) = 2x + 1

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

Step 2: Find

1. Substitute in functions: (f + g)(x) = 3x - 2 + 2x + 1
2. [Addition] Combine like terms (x): (f + g)(x) = 5x - 2 + 1
3. [Addition] Combine like terms: (f + g)(x) = 5x - 1

Answer 2

5x-1

Explanation:

f(x) = 3x-2

g(x) = 2x+1

(f+g) (x) = 3x-2 + 2x+1

Combine like terms

= 5x -1