/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 80 The domain of a one-to-one funct... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 80 (page 270)

The domain of a one-to-one functiong is[0,15] , and its range is(0,8). State the domain and the range ofg-1 .

Short Answer

Expert verified

If a function fis one to one function and its domain is [0,15]and range is(0,8) then the domain of its inverse function g-1will be(0,8) and range will [0,15]

Step by step solution

01

Step 1. Given data  

Function g is one to one function

The domain of function g is[0,15]

The range of function g is(0,8)

02

Step 2. The domain of the inverse function

If a function gis one to one function

then Range of function g=domain of the inverse function g-1

as Range of function g is(0,8)

so the domain of the inverse functiong-1 will be(0,8)

03

Step 3. The Range of the inverse function

If a function gis one to one function

then

then Domain of function g=range of inverse functiong-1

As the domain of function g is[0,15]

so Range of inverse functiong-1 will be[0,15]

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve the equation22x-1=4

and verify your results using a graphing utility.

The graphs ofy=a-x and y=1axare identical. Why?

True or False. The domain of the composite functionf鈭�gxis the same as the domain ofg(x).

the function f is one-to-one. Find its inverse and check your answer.

f(x)=x2+33x2x>0

Evaluate each expression using the graphs of y=f(x)and y=g(x)shown in the figure.

(a)g鈭�f-1 (b) g鈭�f0(c) f鈭�g-1(d) f鈭�g4.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.