Question

The function c(f) = (f-32) allows you to convert degrees Fahrenheit todegrees Celsius. Find the inverse of the function so that you can convertdegrees Celsius back to degrees Fahrenheit.o A.10 - C-32OB. f(c) = c + 32OC. (c) =c+32OD. f(c) = c-32

Answer 1

Given that the function below converts degrees Fahrenheit to

degrees Celsius:

`C(f)=f-32`

To find the inverse of the function such that degrees Celsius is converted back to degrees Fahrenheit, we have

`\begin{gathered} Let \\ C(f)\Rightarrow y \\ f\Rightarrow x \\ thus, \\ y=x-32 \\ take\text{ y for x. This gives} \\ x=y-32 \\ Make\text{ y the subject of formula,} \\ y=x+32 \\ Thus, \\ f(C)=C+32 \end{gathered}`

Hence, we have

`f(C)=C+32`