Solved: Show the graph of a function y = ƒ(x). Copy the

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

Problem 11E 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 11E

Show the graph of a function y = ƒ(x). Copy the graph and draw in the line y = x.Then use symmetry with respect to the line y = x to add the graph of f–1 to your sketch. (It is not necessary to find a formula for f–1) Identify the domain and range of f–1

Step-by-Step Solution:

Step 1 of 4</p>

In this problem, we have to show the graph of the function and draw a line then use the symmetry with respect to the line  to add the graph of

Step 2 of 4</p>

The giving function will be

The domain of the function is given by

Now, we have to find the range of the function

Rewrite the given equation, we get

        

        

General Quadratic equation will be

Compare the giving equation with general Quadratic equation, we get

        

We know that

        

So, the value of

When the value of  then we get no solution.

Hence, the range of the given function will be

Step 3 of 4

Chapter 1.6, Problem 11E 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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