Answer :
Certainly! Let's break down the problem to understand it clearly.
You are given a function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
Now, let’s understand what [tex]\( C(F) \)[/tex] represents:
- [tex]\( C(F) \)[/tex] is the notation of the function where [tex]\( C \)[/tex] is the output (or the result) when you input a value [tex]\( F \)[/tex].
- [tex]\( F \)[/tex] is the input value in degrees Fahrenheit.
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] calculates the temperature in degrees Celsius using the input temperature in degrees Fahrenheit.
Thus, when you interpret [tex]\( C(F) \)[/tex] in the context of the given function:
1. The function [tex]\( C \)[/tex]: This function converts temperatures from degrees Fahrenheit to degrees Celsius.
2. Input (F): This is the temperature value in degrees Fahrenheit.
3. Output [tex]\( C(F) \)[/tex]: This is the converted temperature value in degrees Celsius.
Based on this understanding, the correct interpretation 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.
Therefore, 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.
You are given a function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
Now, let’s understand what [tex]\( C(F) \)[/tex] represents:
- [tex]\( C(F) \)[/tex] is the notation of the function where [tex]\( C \)[/tex] is the output (or the result) when you input a value [tex]\( F \)[/tex].
- [tex]\( F \)[/tex] is the input value in degrees Fahrenheit.
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] calculates the temperature in degrees Celsius using the input temperature in degrees Fahrenheit.
Thus, when you interpret [tex]\( C(F) \)[/tex] in the context of the given function:
1. The function [tex]\( C \)[/tex]: This function converts temperatures from degrees Fahrenheit to degrees Celsius.
2. Input (F): This is the temperature value in degrees Fahrenheit.
3. Output [tex]\( C(F) \)[/tex]: This is the converted temperature value in degrees Celsius.
Based on this understanding, the correct interpretation 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.
Therefore, 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.