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svlad2 [7]
3 years ago
7

F(x)=−10x2−x and g(x)=−2x2−x, find (f−g)(x) and (f−g)(−2)

Mathematics
1 answer:
blondinia [14]3 years ago
7 0

Answer:

(f - g)(x) = -8x²

(f - g)(2) = -32

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -10x² - x

g(x0 = -2x² - x

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

(f - g)(2) is f(2) - g(2)

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

  1. Substitute:                    (f - g)(x) = -10x² - x - (-2x² - x)
  2. Distribute -1:                 (f - g)(x) = -10x² - x + 2x² + x
  3. Combine like terms:    (f - g)(x) = -8x²

<u>Step 3: Evaluate</u>

  1. Substitute:                    (f - g)(2) = -8(-2)²
  2. Evaluate:                       (f - g)(2) = -8(4)
  3. Multiply:                        (f - g)(2) = -32

And we have our answers!

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