The formula c = 5 9 (f − 32), where f ≥ −459.67, expresses the celsius temperature c as a function of the fahrenheit temperature f. find a formula for the inverse function. f= 9 5c+32 what is the domain of the inverse function? (enter your answer using interval notation.)

The required formula for the inverse function is

The domain of the inverse function is

Step-by-step explanation:

Given : The formula , where expresses the Celsius temperature C as a function of the Fahrenheit temperature F.

To find : A formula for the inverse function and What is the domain of the inverse function?

Solution :

a) To find inverse,

The formula is given by,

Write the function F in terms of C,

The required formula for the inverse function is

b) To find domain of inverse function,

We have given,

So, The domain of the given function is

Now, substitute F=-459.67 in the given function to get the domain of the inverse function.

Therefore, the domain of the inverse function is

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