Answered

IDNLearn.com: Where curiosity meets clarity and questions find their answers. Find in-depth and accurate answers to all your questions from our knowledgeable and dedicated community members.

f(x) = 4x^3 + 7x^2 – 2x – 1
g(x) = 4x – 2
Find (f -g)(x).

Sagot :

Spaceidn

Answer:

(f - g)(x) = 4x³ + 7x² - 6x + 1

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Combining Like Terms

Explanation:

Step 1: Define

f(x) = 4x³ + 7x² - 2x - 1

g(x) = 4x - 2

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

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

  1. Substitute:                              (f - g)(x) = 4x³ + 7x² - 2x - 1 - (4x - 2)
  2. Distributive -1:                         (f - g)(x) = 4x³ + 7x² - 2x - 1 - 4x + 2
  3. Combine like terms:              (f - g)(x) = 4x³ + 7x² - 6x + 1
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.