-1 Find an equation for f the inverse function. 1 Verify that your equation is correct by showing that f(f¯¹(x)) = x and f¯¹ (f(x)) = x. Select the correct choice below and fill in the answer box(es) to complete your choi Simplify your answer. Use integers or fractions for any numbers in the expression.) A. f¹(x) = for x # B. f¹(x)= for x ≤ OC. f¹(x) = for x 2 c. D. f¹(x)= for all x D. Verify that the equation is correct. and ม - 1 ƒ¨¯¹ (f(x)) = f¯¹) Substitute.
-1 Find an equation for f the inverse function. 1 Verify that your equation is correct by showing that f(f¯¹(x)) = x and f¯¹ (f(x)) = x. Select the correct choice below and fill in the answer box(es) to complete your choi Simplify your answer. Use integers or fractions for any numbers in the expression.) A. f¹(x) = for x # B. f¹(x)= for x ≤ OC. f¹(x) = for x 2 c. D. f¹(x)= for all x D. Verify that the equation is correct. and ม - 1 ƒ¨¯¹ (f(x)) = f¯¹) Substitute.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 44CR
Related questions
Question
![The function f(x) = 5x + 3 is one-to-one.
1
a. Find an equation for f
the inverse function.
b. Verify that your equation is correct by showing that f(f¯¹(x)) = x and f¯¯¹ (f(x)) = x.
a. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
1
OA. f¹(x) =
for x #
OB. f(x)=
OC. f(x)= for x 2
OD. f¹(x)=, for all x
b. Verify that the equation is correct.
=
for x ≤
and
ƒ¯¹ (f(x)) = f'
=
4
Substitute
Simplify.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F561461b0-ba37-48f8-9308-b59cc84ed2b5%2F33a19342-e4c6-4ebb-a2bb-638c3827efe0%2Fijsyusq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The function f(x) = 5x + 3 is one-to-one.
1
a. Find an equation for f
the inverse function.
b. Verify that your equation is correct by showing that f(f¯¹(x)) = x and f¯¯¹ (f(x)) = x.
a. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
1
OA. f¹(x) =
for x #
OB. f(x)=
OC. f(x)= for x 2
OD. f¹(x)=, for all x
b. Verify that the equation is correct.
=
for x ≤
and
ƒ¯¹ (f(x)) = f'
=
4
Substitute
Simplify.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Algebra for College Students](https://www.bartleby.com/isbn_cover_images/9781285195780/9781285195780_smallCoverImage.gif)
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
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
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Algebra for College Students](https://www.bartleby.com/isbn_cover_images/9781285195780/9781285195780_smallCoverImage.gif)
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
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
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)