Find the composition of the function K with the function C and explain what it represents.

Question

The function C=5/9(F-32) converts degrees Fahrenheit F to degrees Celsius C. The function K=C+273 converts Celsius C to degrees Kelvin K. Find the composition of the function K with the function C and explain what it represents.

Answer 1

The composition of the function K with the function C is 

 

K(C(F)) = C(F) + 273 = (5/9)(F-32) + 273 

 

Since C converts Fahrenheit to Celsius and K converts Celsius to Kelvin, the composition will convert Fahrenheit to Kelvin.