Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.1 Inverse Functions - 6.1 Exercises: 32

Answer

The graph of the function $f(x)$ can be considered as the curve for cosine function and $f(x)= cos\frac{\pi x}{4}$ and the inverse of the function is $f^{-1}(x)= \frac{4}{\pi}cos^{-1}(y)$. The graph of inverse of the function $f^{-1}(x)$ passing through the points ${(1,0),(0,2),(-1,4)}$ is depicted below:
1520165309

Work Step by Step

Observe the graph ,we find that the function $f(x)$ passing through the below points. $f(x)={(0,1),(2,0),(4,-1)}$ Thus, the inverse $f^{-1}(x)$ can be drawn as: $f^{-1}(x) ={(1,0),(0,2),(-1,4)}$ The graph of the function $f(x)$ can be considered as the curve for cosine function and $f(x)= cos\frac{\pi x}{4}$ and the inverse of the function is $f^{-1}(x)= \frac{4}{\pi}cos^{-1}(y)$. The graph of inverse of the function $f^{-1}(x)$ passing through the points ${(1,0),(0,2),(-1,4)}$ is depicted below:
Small 1520165309
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.