Find a formula for the inverse function f–1 and verify

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

Problem 75E 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 75E

Find a formula for the inverse function f–1 and verify that

Step-by-Step Solution:

Solution:-

Step 1 of  7

Given that

We have to find a formula for the inverse function f–1 and verify that

Step 2 of 7</p>

We have

(a)  

Suppose

Therefore, we get

 

By taking logarithmic both side we get

Replace  by  we get

Therefore,

Step 3 of 7</p>

Now

                   =

                  =

                =

              =

              =

             =

             =

Step 4 of 7</p>

Now

                    =

                   =

                  =

                  =

                   =

                  =

                 =

Therefore,

Step 5 of 7

Chapter 1.6, Problem 75E is Solved
Step 6 of 7

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

The full step-by-step solution to problem: 75E from chapter: 1.6 was answered by Sieva Kozinsky, our top Calculus solution expert on 08/01/17, 02:37PM. This full solution covers the following key subjects: Find, formula, function, Inverse, verify. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. The answer to “Find a formula for the inverse function f–1 and verify that” is broken down into a number of easy to follow steps, and 11 words. Since the solution to 75E from 1.6 chapter was answered, more than 228 students have viewed the full step-by-step answer. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077.

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