Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Let f(x)=2x^2-9x-5 and g(x)=x-5. what are (f•g)(x) and (f/g)(x)?

Sagot :

MrRoyal

The values of the composite functions are (f.g)(x) = 2x^3 - 19x^2 + 40x + 25 and (f/g)(x) = 2x + 1

How to evaluate the composite functions?

The functions are given as:

f(x) = 2x^2 - 9x - 5

g(x) = x - 5

The composite function (f.g)(x) is calculated as

(f.g)(x) = f(x) * g(x)

This gives

(f.g)(x) = (2x^2 - 9x - 5) * (x - 5)

Evaluate the product

(f.g)(x) = 2x^3 - 9x^2 - 5x - 10x^2 + 45x + 25

Evaluate the like terms

(f.g)(x) = 2x^3 - 19x^2 + 40x + 25

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

This gives

(f/g)(x) = (2x^2 - 9x - 5)/(x - 5)

Factorize the numerator

(f/g)(x) = (2x + 1)(x - 5)/(x - 5)

Evaluate the quotient

(f/g)(x) = 2x + 1

Hence, the values of the composite functions are (f.g)(x) = 2x^3 - 19x^2 + 40x + 25 and (f/g)(x) = 2x + 1

Read more about composite functions at

https://brainly.com/question/13502804

#SPJ1

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.