   Chapter 1.5, Problem 19E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# The formula C = 5 9 ( F − 32 ) , where 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 C=59(F32),F459.67 .

Calculation:

Solve the Celsius temperature function for F.

C=59(F32)95C=F3295C+32=F

Thus, the inverse function is, f1(c)=95C+32 , which represents the Fahrenheit temperature as a function of the Celsius temperature.

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

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