Answer :
To understand what [tex]\( C(F) \)[/tex] represents, we need to look at the function provided:
[tex]\[ C(F) = \frac{5}{9}(F-32) \][/tex]
This function is used to convert temperatures from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]). Let's break down the components:
1. Input Variable: The variable [tex]\( F \)[/tex] is the input of the function, which represents the temperature in degrees Fahrenheit.
2. Function Process: The formula [tex]\(\frac{5}{9}(F-32)\)[/tex] is the mathematical operation used to convert the Fahrenheit temperature to Celsius.
3. Output Variable: The result of the function, [tex]\( C(F) \)[/tex], is the temperature in degrees Celsius.
Based on this understanding, [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit. Therefore, [tex]\( C(F) \)[/tex] corresponds to the conversion from Fahrenheit to Celsius.
So, the correct choice is:
[tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
[tex]\[ C(F) = \frac{5}{9}(F-32) \][/tex]
This function is used to convert temperatures from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]). Let's break down the components:
1. Input Variable: The variable [tex]\( F \)[/tex] is the input of the function, which represents the temperature in degrees Fahrenheit.
2. Function Process: The formula [tex]\(\frac{5}{9}(F-32)\)[/tex] is the mathematical operation used to convert the Fahrenheit temperature to Celsius.
3. Output Variable: The result of the function, [tex]\( C(F) \)[/tex], is the temperature in degrees Celsius.
Based on this understanding, [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit. Therefore, [tex]\( C(F) \)[/tex] corresponds to the conversion from Fahrenheit to Celsius.
So, the correct choice is:
[tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.