Answer:
a) The inverse of the function is
b) The domain of the inverse function is C>1348.70.
Step-by-step explanation:
Given : The formula , where express the Celsius temperature C as a function of the Fahrenheit temperature F.
To find : a) A formula for the inverse function and interpret it.
b) What is the domain of the inverse function?
Solution :
a) The formula
The inverse function of the given formula is the value of F.
Taking F to one side and rest term to other side,
Therefore, The inverse of the function is
i.e. Fahrenheit temperature F as a function of the Celsius temperature C.
b) The domain of the inverse function.
We have given,
Substituting in the formula,
The domain of the inverse function is C>1348.70.