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2 years ago

Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)

Mathematics

1 answer:

Juliette [100K]2 years ago

3 0

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x² - 2x - 63

g(x) = x + 7

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

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

Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)
Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7
Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7
Combine like terms (Z): (f - g)(x) = x² - 3x - 70

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