Chapter 1.5, Problem 2E

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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

Explanation

**Given:**

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

**Calculation**:

The inverse function is defined as

Let

(b)

To determine

**To Find:** The formula for
*f* is given*.*

(c)

To determine

**To explain:** How to obtain the graph of
*f*.

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