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2 years ago

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

Mathematics

1 answer:

Sonbull [250]2 years ago

8 0

Answer:

f(x) - g(x) = 3x² - 3x + 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x² - x + 5

g(x) = 2x - 3

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

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

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