Question
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True or False? The function and its inverse are reflected
over the line .
Option #1: True
Option #2: False
(1 point)
The best answer is Option #

Ask by Salazar Chang. in the United States
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The best answer is Option #2

Solution

The best answer is Option #2

Answered by UpStudy AI and reviewed by a Professional Tutor

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Extra Insights

False! The inverse function of is indeed , but they are not reflected over the line . Instead, they are reflections over the line . To visualize this, if you plot both functions, you’ll see that the points are symmetric concerning the line , not .
To understand the relationship between functions and their inverses, remember that a function and its inverse can be mirrored around . To find the inverse algebraically, swap the roles of and and solve for . This “mirroring” is a fundamental concept in function transformations!

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