Answer:
The function [tex]f(C)=\frac{5}{9}(F-32)[/tex], convert degrees Fahrenheit back to degrees Celsius.
Step-by-step explanation:
Given : the function [tex]f(c)=\frac{9}{5}c+32[/tex] allows to convert degrees Celsius to degrees Fahrenheit.
We have to find the inverse of the function so that you can convert degrees Fahrenheit back to degrees Celsius.
Since [tex]f(c)=\frac{9}{5}c+32[/tex] convert degrees Celsius to degrees Fahrenheit.
So, [tex]f(c)=\frac{9}{5}c+32[/tex] can be written as [tex]F=\frac{9}{5}C+32[/tex], where F is temperature in degrees Fahrenheit. and C is temperature in degrees Celsius.
Thus, to find the function that convert degrees Fahrenheit back to degrees Celsius.
Find the value of C in terms of F by solving [tex]F=\frac{9}{5}C+32[/tex],
Subtract 32 both side, we have,
[tex]F-32=\frac{9}{5}C[/tex],
Multiply by [tex]\frac{5}{9}[/tex] we have,
[tex]\frac{5}{9}(F-32)=C[/tex],
Thus, the function [tex]f(C)=\frac{5}{9}(F-32)[/tex], convert degrees Fahrenheit back to degrees Celsius.
