Conversion formula used to convert celsius to Fahrenheit is .

Conversion formula  used to convert Fahrenheit  to Kelvin is .

(a) Find .

To find the inverse of the function, consider and solve in terms of .

Now interchange and .

Replace .

The formula used to convert degrees Fahrenheit to degrees celsius is .

(b) The function and its inverse is .

If  and   are inverse functions then and .

.

.

and   are inverse functions.

Graph:

Graph the function and its inverse :

(c).

Find .

and .

is used to convert degrees celsius to kelvin.

(d)

The temperature is .

The formula  which is used to convert degrees celsius to degrees Fahrenheit is .

Substitute into .

The formula used to convert degrees Fahrenheit to Kelvin is .

Substitute into .

.

The temperature in Kelvin is .

(a) and is is used to convert degrees Fahrenheit to degrees celsius.

(b) and   are inverse functions.

(c) is used to convert degrees celsius to kelvin.

(d)The temperature in Kelvin is .