Answer :
To solve this question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] does. This function is used to convert temperatures from degrees Fahrenheit to degrees Celsius. Here's how to interpret the function:
1. Identify the Function Inputs and Outputs:
- The input of the function is [tex]\( F \)[/tex], which represents a temperature in degrees Fahrenheit.
- The output of the function, [tex]\( C(F) \)[/tex], represents the corresponding temperature in degrees Celsius after the conversion.
2. Understanding the Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is the standard formula to convert Fahrenheit to Celsius.
3. Analyze What [tex]\( C(F) \)[/tex] Stands For:
- [tex]\( C(F) \)[/tex] is the result after applying the formula to convert from Fahrenheit to Celsius. Therefore, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
Given this breakdown:
- The correct interpretation 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.
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.
1. Identify the Function Inputs and Outputs:
- The input of the function is [tex]\( F \)[/tex], which represents a temperature in degrees Fahrenheit.
- The output of the function, [tex]\( C(F) \)[/tex], represents the corresponding temperature in degrees Celsius after the conversion.
2. Understanding the Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is the standard formula to convert Fahrenheit to Celsius.
3. Analyze What [tex]\( C(F) \)[/tex] Stands For:
- [tex]\( C(F) \)[/tex] is the result after applying the formula to convert from Fahrenheit to Celsius. Therefore, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
Given this breakdown:
- The correct interpretation 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.
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.