Question

F(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)
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Answer 1

f(x) - g(x) = 3x² - 3x + 8

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

Explanation:

Step 1: Define

Identify

f(x) = 3x² - x + 5

g(x) = 2x - 3

Step 2: Find f(x) - g(x)

1. Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)
2. [Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3
3. [Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3
4. [Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8