Solution: What is special about the functions Explain.

Chapter 3, Problem 55E

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QUESTION:

What is special about the functions

        

        \(f(x)=\sin ^{-1} \frac{x-1}{x+1}, \quad x \geq 0\),    and     \(g(x)=2 \tan ^{-1} \sqrt{x}\)?

Explain.

Equation Transcription:

Text Transcription:

f(x)=sin^-1 x-1/x+1 , x geq 0

g(x)=2 tan^-1 sqrt x

Questions & Answers

QUESTION:

What is special about the functions

        

        \(f(x)=\sin ^{-1} \frac{x-1}{x+1}, \quad x \geq 0\),    and     \(g(x)=2 \tan ^{-1} \sqrt{x}\)?

Explain.

Equation Transcription:

Text Transcription:

f(x)=sin^-1 x-1/x+1 , x geq 0

g(x)=2 tan^-1 sqrt x

ANSWER:

Solution:

Step 1 of 2:

In this problem, we need to discuss about the speciality of the functions .

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