Answered

Discover new perspectives and gain insights with IDNLearn.com's diverse answers. Our experts provide timely, comprehensive responses to ensure you have the information you need.

2
If f is a function defined by f(x) = x² - 6x + 5,
Find f(0).
Solve f(x) = 0.
5

Sagot :

Nuhulawal20idn

Given the function, the output value of f(0) is 5 and the value of x when f(x)=0 are 5 and 1.

What is the out and input value of f(0) and f(x) = 0 respectively?

Given the function in the question;

  • f(x) = x² - 6x + 5
  • f(0) = ?
  • f(x)=0, x = ?

To determine the output value of f(0), replace all the occurrence of x with 0 in the function and simplify.

f(x) = x² - 6x + 5

f(0) = (0)² - (0)x + 5

f(0) = 0 - 0 + 5

f(0) = 5

To determine the value of x when f(x) = 0, replace f(x) with 0 in the function and simplify.

f(x) = x² - 6x + 5

0 = x² - 6x + 5

x² - 6x + 5 = 0

Factor x² - 6x + 5 using the AC method.

(x-5)(x-1) = 0

x = 5, x = 1

x = 5, 1

Therefore, the output value of f(0) is 5 and the value of x when f(x)=0 are 5 and 1.

Learn more about composite functions here: https://brainly.com/question/20379727

#SPJ1

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.