Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

What is (f−g)(x)?



f(x)=x^3−3x^2+2x−3

g(x)=4x^2−5x+7



Enter your answer in the box.

(f−g)(x)=

Sagot :

fieryanswererft

Answer:

[tex]\large\boxed{\sf x^3 - 7x^2 + 7x - 10}[/tex]

Explanation:

Given:

(a) f(x) = x³ - 3x² + 2x - 3

(b) g(x) = 4x²- 5x + 7

Solve for (f - g)(x) = f(x) - g(x) :

⇒ x³ - 3x² + 2x - 3 - (4x²- 5x + 7)

distribute inside parenthesis

⇒ x³ - 3x² + 2x - 3 - 4x² + 5x - 7

group the variables

⇒ x³ - 3x² - 4x² + 2x + 5x - 3 - 7

add or subtract variables

⇒ x³ - 7x² + 7x - 10

Esther

Answer:

x³ - 7x² + 7x - 10

Step-by-step explanation:

Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)

Given:

  • f(x) = x³ - 3x² + 2x - 3
  • g(x) = 4x² - 5x + 7

Simplify:

(x³ - 3x² + 2x - 3) - (4x² - 5x + 7)

(x³ - 3x² + 2x - 3) - (4x²) + - (- 5x) - (7)

x³ - 3x² + 2x - 3 - 4x² + 5x - 7

x³ - 3x² - 4x² +2x + 5x - 3 - 7

x³ - 7x² + 7x - 10

Learn more about subtracting functions here:

brainly.com/question/27801057

brainly.com/question/12122417

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.