What is the inverse of the function $$f(x) = \frac{3x + 10}{7}$$ ?

The inverse is $$f^{-1}(x) = \frac{7x - 10}{3}$$ .

How can you verify if two functions are inverses?

To verify, check if $$f(f^{-1}(x)) = x$$ and $$f^{-1}(f(x)) = x$$ for all $$x$$ in the domain.

What is the significance of the line $$y = x$$ in relation to inverse functions?

The line $$y = x$$ serves as the line of reflection for the graphs of a function and its inverse.

What happens to the slopes of a function and its inverse?

The slopes of a function and its inverse are reciprocals of each other at corresponding points.

What is the inverse of a linear function?

For a linear function of the form $$f(x) = mx + b$$ , the inverse is $$f^{-1}(x) = \frac{x - b}{m}$$ .

Can a function have more than one inverse?

No, a function can have at most one inverse unless it is not one-to-one.

What is a one-to-one function?

A one-to-one function is a function where each output is produced by exactly one input, ensuring it has an inverse.

What is the inverse of the function represented by the table?

To find the inverse from a table, swap the input and output values.

Are the functions $$f(x) = 2x + 3$$ and $$g(x) = \frac{x - 3}{2}$$ inverses of each other?

Yes, because $$f(g(x)) = x$$ and $$g(f(x)) = x$$ .

Review Inverse Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an inverse function?

Back

2.

FLASHCARD QUESTION

Front

How do you find the inverse of a function algebraically?

Back

3.

FLASHCARD QUESTION

Front

What is the graphical representation of an inverse function?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What does it mean if two functions are inverses of each other?

Back

6.

FLASHCARD QUESTION

Front

What is the domain of an inverse function?

Back

The domain of the inverse function is the range of the original function.

7.

FLASHCARD QUESTION

Front

What is the range of an inverse function?

Back

The range of the inverse function is the domain of the original function.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

13 questions

Regular and Irregular Verbs

Flashcard

•

10th Grade

8 questions

Unit 3.7 Firm's costs, Revenue & Objective

Flashcard

•

11th Grade

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

12 questions

Descriptive adjectives for Home and Furniture

Flashcard

•

10th Grade - University

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

11 questions

Review A2

Flashcard

•

10th Grade

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Equation of a Circle

Lesson

•

10th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

10 questions

Exploring Planet Earth and Its Unique Features

Interactive video

•

6th - 10th Grade

14 questions

Module 3 Topic 2 Vocabulary Quiz

Quiz

•

10th Grade

10 questions

Calculating the Volume of Rectangular Prisms

Interactive video

•

6th - 10th Grade

16 questions

Properties of Quadrilaterals

Quiz

•

11th Grade

23 questions

8th grade math unit 5B Perfect Squares and Cubes

Quiz

•

6th - 12th Grade

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade