Solution Found!
In Exercises 59–61, find the domain and range of each
Chapter 3, Problem 59E(choose chapter or problem)
In Exercises 59–61, find the domain and range of each composite function. Then graph the composites on separate screens. Do the graphs make sense in each case? Give reasons for your answers. Comment on any differences you see.
a. \(y=\tan ^{-1}(\tan x)\) b. \(y=\tan \left(\tan ^{-1} x\right)\)
Equation Transcription:
Text Transcription:
y=tan^-1 (tan x)
y=tan (tan^-1 x)
Questions & Answers
QUESTION:
In Exercises 59–61, find the domain and range of each composite function. Then graph the composites on separate screens. Do the graphs make sense in each case? Give reasons for your answers. Comment on any differences you see.
a. \(y=\tan ^{-1}(\tan x)\) b. \(y=\tan \left(\tan ^{-1} x\right)\)
Equation Transcription:
Text Transcription:
y=tan^-1 (tan x)
y=tan (tan^-1 x)
ANSWER:
Solution :
Step 1 :
In this problem, we have to find the domain and range of the function then sketch the graph of the functions.