Please help! What would be the correct answer for this question? To find the inverse of a function: Replace f(x) with y. Switch x’s and y’s. Solve for y. Replace ‘y’ with f-1(x)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
icon
Related questions
Question

Please help! What would be the correct answer for this question?

To find the inverse of a function:

  1. Replace f(x) with y.
  2. Switch x’s and y’s.
  3. Solve for y.
  4. Replace ‘y’ with f-1(x)
Prompt:
1. Create a new post describing a function and its inverse.
a. Create a function, f (x), and find the inverse of the function, f(x).
b. Choose a value for x and find the value of f(x). List the order of operations that you use to find the value.
c. Use the value you found for f (æ) to find f-1 (f(x)). For example, if f (x) = 3, find f(3). List the order of
operations that you used to find the value.
2. Choose another student's problem to review.
a. Comment on patterns that you see in their problem, paying close attention to
i. The values of e, f (x), and f-1 (f(x)).
ii. The order of operations used to find f(x) and f-1 (f (x)).
b. Describe whether you think these patterns can be generalized to all functions and their inverses.
To find the inverse of a function:
1. Replace f(x) with y.
2. Switch x's and y's.
3. Solve for y.
4. Replace 'y' with f'(x)
Example: Find the inverse of f(x)= 4x-2
1. х-4у-2
2. 4y-x-2 у-х-2/4
3. f'(x) =x-2/4
Transcribed Image Text:Prompt: 1. Create a new post describing a function and its inverse. a. Create a function, f (x), and find the inverse of the function, f(x). b. Choose a value for x and find the value of f(x). List the order of operations that you use to find the value. c. Use the value you found for f (æ) to find f-1 (f(x)). For example, if f (x) = 3, find f(3). List the order of operations that you used to find the value. 2. Choose another student's problem to review. a. Comment on patterns that you see in their problem, paying close attention to i. The values of e, f (x), and f-1 (f(x)). ii. The order of operations used to find f(x) and f-1 (f (x)). b. Describe whether you think these patterns can be generalized to all functions and their inverses. To find the inverse of a function: 1. Replace f(x) with y. 2. Switch x's and y's. 3. Solve for y. 4. Replace 'y' with f'(x) Example: Find the inverse of f(x)= 4x-2 1. х-4у-2 2. 4y-x-2 у-х-2/4 3. f'(x) =x-2/4
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell