
Concept explainers
a.
To find: The function
a. Express the temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F.
a.

Answer to Problem 92AYU
Solution:
a. The temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F as
Explanation of Solution
Given:
The function F converts a temperature from C degrees Celsius to F degrees
Fahrenheit as
Calculation:
a.We can express temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F .
Given
b.
To find: The function
b. Verify that C = C(F) is the inverse of F = F(C) by showing that C(F(C) ) = C and F(C(F)) = F.
b.

Answer to Problem 92AYU
Solution:
b.Verified that
Explanation of Solution
Given:
The function F converts a temperature from C degrees Celsius to F degrees
Fahrenheit as
Calculation:
b.Verify
Similarly, we can prove
c.
To find: The function
c. What is the temperature in degrees Celsius if it is 70 degrees Fahrenheit?
c.

Answer to Problem 92AYU
Solution:
c.The temperature in degrees Celsius if it is 70 degrees Fahrenheit as.
Explanation of Solution
Given:
The function F converts a temperature from C degrees Celsius to F degrees
Fahrenheit as
Calculation:
c.The temperature in degrees Celsius if it is 70 degrees Fahrenheit as
We know that
- Given F = 70 degrees.
Therefore,
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