Chapter 10: Q. 26 (page 1003)

In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function.
$\{(5, 3), (4, 2), (3, 1), (2, 0)\}$ .

Short Answer

Expert verified

The inverse of the function is $\{(3, 5), (2, 4), (1, 3), (0, 2)\}$ .

Domain is $\{3, 2, 1, 0\}$ .

Range is $\{5, 4, 3, 2\}$ .

Step by step solution

Step 1. Given and explanation

We have $\{(5, 3), (4, 2), (3, 1), (2, 0)\}$ .

Inverse of a function is the order pair as $(y, x)$ when the function is one to one function.

The domain is the input value and the range is the output value.

Step 2. Finding the values.

We have $\{(5, 3), (4, 2), (3, 1), (2, 0)\}$ .

The inverse of the function will be $\{(3, 5), (2, 4), (1, 3), (0, 2)\}$ .

Domain is the input value, i.e. domain is $\{3, 2, 1, 0\}$ .

Range is the output value, i.e. range is $\{5, 4, 3, 2\}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function.
$\{(5, 3), (4, 2), (3, 1), (2, 0)\}$ .

Short Answer

Step by step solution

Step 1. Given and explanation

Step 2. Finding the values.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Mechanics Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function.(5,3),(4,2),(3,1),(2,0).

Short Answer

Step by step solution

Step 1. Given and explanation

Step 2. Finding the values.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Mechanics Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function.
$\{(5, 3), (4, 2), (3, 1), (2, 0)\}$ .