To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x) = 9/5x + 32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x) = x - 273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.

Let's make x=Kelvin, y=Celsius, and z=Fahrenheit. Since x-273.15=y and 9/5(y) +32=z, we can substitute in x-273.15 for y, getting (9/5)(x-273.15)+32=z

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JeanaShupp JeanaShupp · Answer 2 · 2019-04-24T06:33:15+02:00

Answer: [tex]F(C(x))=\frac{9}{5}x-459.67\text{, where x is the temperature in degrees Kelvin. }[/tex]

Step-by-step explanation:

Given: To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function [tex]F(x)=\frac{9}{5}x+32[/tex] where x is the temperature in degrees Celsius.

To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function [tex]C(x) = x - 273.15[/tex], where x is the temperature in degrees Kelvin.

The composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit is given by :-

[tex]F\circ C(x)=F(C(x))\text{, where x is the temperature in degrees Kelvin. }\\\\=F( x - 273.15)\\\\=\frac{9}{5}( x - 273.15)+32\\\\=\frac{9}{5}x-\frac{9}{5}(273.15)+32\\\\=\frac{9}{5}x- 491.67+32\\\\\Rightarrow F(C(x))=\frac{9}{5}x-459.67\text{, where x is the temperature in degrees Kelvin. }[/tex]