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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

(a) Suppose f is a one-to-one function with domain A and range B. How is the inverse function f-1 defined? What is the domain of f-1? What is the range of f-1?

(b) If you are given a formula for f, how do you find a formula for f-1?

(c) If you are given the graph of f, how do you find the graph of f-1?

(a)

To determine

To define: The inverse function f1 ; what is the domain and range of f1 .

Explanation

Given:

The function f is one-to-one with domain A and range B.

Calculation:

The inverse function is defined as y=f1(x) .

Let f1 be a one-to-one function with domain B and range A

(b)

To determine

To Find: The formula for f1 if the formula for f is given.

(c)

To determine

To explain: How to obtain the graph of f1 if the graph of f is given f.

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