Answer :
Sure! Let's break this down step by step.
We have a function given as [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex]. This function is used to convert temperatures from Fahrenheit to Celsius. Let's clarify what exactly [tex]\( C(F) \)[/tex] represents:
1. Understand the Variables:
- [tex]\( F \)[/tex] is the input variable, representing temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output, which will represent the temperature in degrees Celsius after the conversion.
2. Conversion Process:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] takes a temperature [tex]\( F \)[/tex] in Fahrenheit and transforms it into a temperature in Celsius.
3. What [tex]\( C(F) \)[/tex] Represents:
- Since the function converts Fahrenheit to Celsius, [tex]\( C(F) \)[/tex] is the result or output of the conversion process and it indicates the temperature in degrees Celsius.
Given these explanations, [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, the correct interpretation is:
"C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit."
We have a function given as [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex]. This function is used to convert temperatures from Fahrenheit to Celsius. Let's clarify what exactly [tex]\( C(F) \)[/tex] represents:
1. Understand the Variables:
- [tex]\( F \)[/tex] is the input variable, representing temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output, which will represent the temperature in degrees Celsius after the conversion.
2. Conversion Process:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] takes a temperature [tex]\( F \)[/tex] in Fahrenheit and transforms it into a temperature in Celsius.
3. What [tex]\( C(F) \)[/tex] Represents:
- Since the function converts Fahrenheit to Celsius, [tex]\( C(F) \)[/tex] is the result or output of the conversion process and it indicates the temperature in degrees Celsius.
Given these explanations, [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, the correct interpretation is:
"C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit."