Answer :
To solve this question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] does.
1. Identify the Components:
- The function is used to convert temperatures from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]).
2. Understand the Function:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is the standard formula to convert a temperature reading from Fahrenheit to Celsius.
- Here, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, and [tex]\( C(F) \)[/tex] is the temperature in degrees Celsius obtained after conversion.
3. Interpret [tex]\( C(F) \)[/tex]:
- The function takes an input [tex]\( F \)[/tex] which is the temperature in degrees Fahrenheit.
- It outputs [tex]\( C(F) \)[/tex], which is the corresponding temperature in degrees Celsius.
4. Answer The Question:
- Based on the interpretation, [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.
Thus, the correct answer to the question is that [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.
1. Identify the Components:
- The function is used to convert temperatures from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]).
2. Understand the Function:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is the standard formula to convert a temperature reading from Fahrenheit to Celsius.
- Here, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, and [tex]\( C(F) \)[/tex] is the temperature in degrees Celsius obtained after conversion.
3. Interpret [tex]\( C(F) \)[/tex]:
- The function takes an input [tex]\( F \)[/tex] which is the temperature in degrees Fahrenheit.
- It outputs [tex]\( C(F) \)[/tex], which is the corresponding temperature in degrees Celsius.
4. Answer The Question:
- Based on the interpretation, [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.
Thus, the correct answer to the question is that [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.