changes savedf-1 (x)-24 x-2 (x)4Explain in AT LEAST 2 complete sentences whether or not Renee is correct.2.2. 9. Renee was asked to find the inverse of f(x)2x4 and graph both the functionI+2and its inverse. She found f (2)%3=as the inverse and graphed the%3Dfollowing:

Answered: 9. Renee was asked to find the inverse…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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changes saved
f-1 (x)-2
4 x
-2 (x)
4
Explain in AT LEAST 2 complete sentences whether or not Renee is correct.
2.
2.

9. Renee was asked to find the inverse of f(x)
2x
4 and graph both the function
I+2
and its inverse. She found f (2)%3=
as the inverse and graphed the
%3D
following:

Expert Solution

Step 1

Given: A function $f (x) = 2 x - 4$ .

To find the inverse of $f (x) = 2 x - 4$ , substitue $f (x) = y$ and then swap $x$ and $y$ .

$\begin{array}{rcl} f (x) & = & 2 x - 4 \\ y & = & 2 x - 4 \\ S w a p p i n g x a n d y \\ x & = & 2 y - 4 \\ x + 4 & = & 2 y \\ y & = & \frac{x + 4}{2} \\ f^{- 1} (x) & = & \frac{x + 4}{2} \end{array}$

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