Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Find a formula for \( f^{-1}(x) \) if \( f(x) = \left( \frac{x-1}{x+1} \right)^3 \).
\[ f^{-1}(x) = \boxed{\phantom{x}}. \]
\[ (f^{-1})'(x) = \boxed{\phantom{x}}. \]
**Hint**: Undo the operations of \( f(x) \) from the outside in. Undo the cubed operation first.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6c24633-c3cc-42f6-867b-8e6b80becf9d%2Faad40489-7dfd-4f14-9112-be8fecf09930%2F6nyn94m_processed.png&w=3840&q=75)
Transcribed Image Text:Find a formula for \( f^{-1}(x) \) if \( f(x) = \left( \frac{x-1}{x+1} \right)^3 \).
\[ f^{-1}(x) = \boxed{\phantom{x}}. \]
\[ (f^{-1})'(x) = \boxed{\phantom{x}}. \]
**Hint**: Undo the operations of \( f(x) \) from the outside in. Undo the cubed operation first.
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