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3 years ago

21. Given that f(x)= x^3– x² + 5x and g(x)= x^3 +5x^2 –2 determine (g-f)(x)

Mathematics

1 answer:

daser333 [38]3 years ago

6 0

Answer:

(g - f)(x) = 6x² - 5x - 2

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x³ - x² + 5x

g(x) = x³ + 5x² - 2

(g - f)(x) is g(x) - f(x)

Step 2: Evaluate

Substitute: (g - f)(x) = x³ + 5x² - 2 - (x³ - x² + 5x)
Distribute -1: (g - f)(x) = x³ + 5x² - 2 - x³ + x² - 5x
Combine like terms: (g - f)(x) = 6x² - 5x - 2

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