Each of Exercise gives a formula for a | Ch 1.6 - 31E

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Problem 31E Chapter 1.6

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 31E

Each of Exercise gives a formula for a function y = ƒ(x). In each case, find ƒ–1(x) and identify the domain and range of ƒ–1. As a check, show that f(ƒ–1(x)) = ƒ–1(f(x)) = x

Step-by-Step Solution:

Step 1 of 4</p>

In this problem find the formula for a function and also identify the domain and range of and check that .

Given that a function

Step 2 of 4</p>

Consider  

Put

.’.

Hence,

This is the inverse function.

Step 3 of 4

Chapter 1.6, Problem 31E is Solved
Step 4 of 4

Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

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