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Nitella [24]
2 years ago
6

I NEED HELP! If f(x)= 5x^2-3 and g(x)=x^2-4x-8, find (f-g)(x).

Mathematics
1 answer:
yaroslaw [1]2 years ago
5 0

Answer:

(f - g)(x) = 4x² + 4x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 5x² - 3

g(x) = x² - 4x - 8

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

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                    (f - g)(x) = 5x² - 3 - (x² - 4x - 8)
  2. Distribute -1:                 (f - g)(x) = 5x² - 3 - x² + 4x + 8
  3. Combine like terms:    (f - g)(x) = 4x² + 4x + 5
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Answer:

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