Question
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 #
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!