Chapter 1.5, Problem 19E

BuyFind*arrow_forward*

8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

The formula
*F* ≥ −459.67*,* expresses the Celsius temperature *C* as a function of the Fahrenheit temperature *F.* Find a formula for the inverse function and interpret it. What is the domain of the inverse function?

To determine

**To find:** A formula and domain for inverse function and interpret the meaning of inverse function.

Explanation

**Given:**

The Celsius temperature as a function of the Fahrenheit temperature is

**Calculation:**

Solve the Celsius temperature function for *F*.

Thus, the inverse function is,

It is known that the range of a function is the domain of its inverse function.

So, first find the range of the given function

Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11E

Sect-1.1 P-12ESect-1.1 P-13ESect-1.1 P-14ESect-1.1 P-15ESect-1.1 P-16ESect-1.1 P-17ESect-1.1 P-18ESect-1.1 P-19ESect-1.1 P-20ESect-1.1 P-21ESect-1.1 P-22ESect-1.1 P-23ESect-1.1 P-24ESect-1.1 P-25ESect-1.1 P-26ESect-1.1 P-27ESect-1.1 P-28ESect-1.1 P-29ESect-1.1 P-30ESect-1.1 P-31ESect-1.1 P-32ESect-1.1 P-33ESect-1.1 P-34ESect-1.1 P-35ESect-1.1 P-36ESect-1.1 P-37ESect-1.1 P-38ESect-1.1 P-39ESect-1.1 P-40ESect-1.1 P-41ESect-1.1 P-42ESect-1.1 P-43ESect-1.1 P-44ESect-1.1 P-45ESect-1.1 P-46ESect-1.1 P-47ESect-1.1 P-48ESect-1.1 P-49ESect-1.1 P-50ESect-1.1 P-51ESect-1.1 P-52ESect-1.1 P-53ESect-1.1 P-54ESect-1.1 P-55ESect-1.1 P-56ESect-1.1 P-57ESect-1.1 P-58ESect-1.1 P-59ESect-1.1 P-60ESect-1.1 P-61ESect-1.1 P-62ESect-1.1 P-63ESect-1.1 P-64ESect-1.1 P-65ESect-1.1 P-66ESect-1.1 P-67ESect-1.1 P-68ESect-1.1 P-69ESect-1.1 P-70ESect-1.1 P-71ESect-1.1 P-72ESect-1.1 P-73ESect-1.1 P-74ESect-1.1 P-75ESect-1.1 P-76ESect-1.1 P-77ESect-1.1 P-78ESect-1.1 P-79ESect-1.1 P-80ESect-1.2 P-1ESect-1.2 P-2ESect-1.2 P-3ESect-1.2 P-4ESect-1.2 P-5ESect-1.2 P-6ESect-1.2 P-7ESect-1.2 P-8ESect-1.2 P-9ESect-1.2 P-10ESect-1.2 P-11ESect-1.2 P-12ESect-1.2 P-13ESect-1.2 P-14ESect-1.2 P-15ESect-1.2 P-16ESect-1.2 P-17ESect-1.2 P-18ESect-1.2 P-19ESect-1.2 P-20ESect-1.2 P-21ESect-1.2 P-22ESect-1.3 P-1ESect-1.3 P-2ESect-1.3 P-3ESect-1.3 P-4ESect-1.3 P-5ESect-1.3 P-6ESect-1.3 P-7ESect-1.3 P-8ESect-1.3 P-9ESect-1.3 P-10ESect-1.3 P-11ESect-1.3 P-12ESect-1.3 P-13ESect-1.3 P-14ESect-1.3 P-15ESect-1.3 P-16ESect-1.3 P-17ESect-1.3 P-18ESect-1.3 P-19ESect-1.3 P-20ESect-1.3 P-21ESect-1.3 P-22ESect-1.3 P-23ESect-1.3 P-24ESect-1.3 P-25ESect-1.3 P-26ESect-1.3 P-27ESect-1.3 P-28ESect-1.3 P-29ESect-1.3 P-30ESect-1.3 P-31ESect-1.3 P-32ESect-1.3 P-33ESect-1.3 P-34ESect-1.3 P-35ESect-1.3 P-36ESect-1.3 P-37ESect-1.3 P-38ESect-1.3 P-39ESect-1.3 P-40ESect-1.3 P-41ESect-1.3 P-42ESect-1.3 P-43ESect-1.3 P-44ESect-1.3 P-45ESect-1.3 P-46ESect-1.3 P-47ESect-1.3 P-48ESect-1.3 P-49ESect-1.3 P-50ESect-1.3 P-51ESect-1.3 P-52ESect-1.3 P-53ESect-1.3 P-54ESect-1.3 P-55ESect-1.3 P-56ESect-1.3 P-57ESect-1.3 P-58ESect-1.3 P-59ESect-1.3 P-60ESect-1.3 P-61ESect-1.3 P-62ESect-1.3 P-63ESect-1.3 P-64ESect-1.3 P-65ESect-1.3 P-66ESect-1.4 P-1ESect-1.4 P-2ESect-1.4 P-3ESect-1.4 P-4ESect-1.4 P-5ESect-1.4 P-6ESect-1.4 P-7ESect-1.4 P-8ESect-1.4 P-9ESect-1.4 P-10ESect-1.4 P-11ESect-1.4 P-12ESect-1.4 P-13ESect-1.4 P-14ESect-1.4 P-15ESect-1.4 P-16ESect-1.4 P-17ESect-1.4 P-18ESect-1.4 P-19ESect-1.4 P-20ESect-1.4 P-21ESect-1.4 P-22ESect-1.4 P-23ESect-1.4 P-24ESect-1.4 P-25ESect-1.4 P-26ESect-1.4 P-27ESect-1.4 P-28ESect-1.4 P-30ESect-1.4 P-31ESect-1.4 P-32ESect-1.4 P-33ESect-1.4 P-34ESect-1.4 P-35ESect-1.4 P-36ESect-1.4 P-37ESect-1.4 P-38ESect-1.5 P-1ESect-1.5 P-2ESect-1.5 P-3ESect-1.5 P-4ESect-1.5 P-5ESect-1.5 P-6ESect-1.5 P-7ESect-1.5 P-8ESect-1.5 P-9ESect-1.5 P-10ESect-1.5 P-11ESect-1.5 P-12ESect-1.5 P-13ESect-1.5 P-14ESect-1.5 P-15ESect-1.5 P-16ESect-1.5 P-17ESect-1.5 P-18ESect-1.5 P-19ESect-1.5 P-20ESect-1.5 P-21ESect-1.5 P-22ESect-1.5 P-23ESect-1.5 P-24ESect-1.5 P-25ESect-1.5 P-26ESect-1.5 P-27ESect-1.5 P-28ESect-1.5 P-29ESect-1.5 P-30ESect-1.5 P-31ESect-1.5 P-32ESect-1.5 P-33ESect-1.5 P-34ESect-1.5 P-35ESect-1.5 P-36ESect-1.5 P-37ESect-1.5 P-38ESect-1.5 P-39ESect-1.5 P-40ESect-1.5 P-41ESect-1.5 P-42ESect-1.5 P-43ESect-1.5 P-44ESect-1.5 P-45ESect-1.5 P-46ESect-1.5 P-47ESect-1.5 P-48ESect-1.5 P-49ESect-1.5 P-50ESect-1.5 P-51ESect-1.5 P-52ESect-1.5 P-53ESect-1.5 P-54ESect-1.5 P-55ESect-1.5 P-56ESect-1.5 P-57ESect-1.5 P-58ESect-1.5 P-61ESect-1.5 P-62ESect-1.5 P-63ESect-1.5 P-64ESect-1.5 P-65ESect-1.5 P-66ESect-1.5 P-67ESect-1.5 P-68ESect-1.5 P-69ESect-1.5 P-70ESect-1.5 P-71ESect-1.5 P-72ESect-1.5 P-73ESect-1.5 P-74ESect-1.5 P-75ESect-1.5 P-76ESect-1.5 P-77ECh-1 P-1RCCCh-1 P-2RCCCh-1 P-3RCCCh-1 P-4RCCCh-1 P-5RCCCh-1 P-6RCCCh-1 P-7RCCCh-1 P-8RCCCh-1 P-9RCCCh-1 P-10RCCCh-1 P-11RCCCh-1 P-12RCCCh-1 P-13RCCCh-1 P-1RQCh-1 P-2RQCh-1 P-3RQCh-1 P-4RQCh-1 P-5RQCh-1 P-6RQCh-1 P-7RQCh-1 P-8RQCh-1 P-9RQCh-1 P-10RQCh-1 P-11RQCh-1 P-12RQCh-1 P-13RQCh-1 P-14RQCh-1 P-1RECh-1 P-2RECh-1 P-3RECh-1 P-4RECh-1 P-5RECh-1 P-6RECh-1 P-7RECh-1 P-8RECh-1 P-9RECh-1 P-10RECh-1 P-11RECh-1 P-12RECh-1 P-13RECh-1 P-14RECh-1 P-15RECh-1 P-16RECh-1 P-17RECh-1 P-18RECh-1 P-19RECh-1 P-20RECh-1 P-22RECh-1 P-23RECh-1 P-24RECh-1 P-25RECh-1 P-26RECh-1 P-27RECh-1 P-28RECh-1 P-1PCh-1 P-2PCh-1 P-3PCh-1 P-4PCh-1 P-5PCh-1 P-6PCh-1 P-7PCh-1 P-8PCh-1 P-9PCh-1 P-10PCh-1 P-11PCh-1 P-12PCh-1 P-13PCh-1 P-14PCh-1 P-15PCh-1 P-16PCh-1 P-17PCh-1 P-18PCh-1 P-19PCh-1 P-20P

Finite Mathematics and Applied Calculus (MindTap Course List)

Multivariable Calculus

Calculus: Early Transcendental Functions

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendentals

Calculus: An Applied Approach (MindTap Course List)

Applied Calculus

Essentials Of Statistics

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Calculus (MindTap Course List)

Statistics for The Behavioral Sciences (MindTap Course List)

Understanding Basic Statistics

Single Variable Calculus

Mathematical Applications for the Management, Life, and Social Sciences

Intermediate Algebra

Finite Mathematics

Mathematical Excursions (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Single Variable Calculus: Early Transcendentals

Elementary Geometry For College Students, 7e

Elementary Technical Mathematics

Contemporary Mathematics for Business & Consumers

Elements Of Modern Algebra

Trigonometry (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Calculus of a Single Variable

Elementary Geometry for College Students

Finite Mathematics for the Managerial, Life, and Social Sciences

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Multivariable Calculus

Study Guide for Stewart's Multivariable Calculus, 8th

College Algebra (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Mathematics For Machine Technology

Research Methods for the Behavioral Sciences (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

Introduction To Statistics And Data Analysis

Calculus (MindTap Course List)