F(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)
1 answer:
Answer:
f(x) - g(x) = 3x² - 3x + 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 3x² - x + 5
g(x) = 2x - 3
<u>Step 2: Find f(x) - g(x)</u>
- Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)
- [Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3
- [Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3
- [Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8
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