$\"\"$

\

The formula $\"\"$ , where $\"\"$ , represents Celsius temparature $\"\"$ as a function of Fahrenheit temparature $\"\"$ .

\

(a)

\

Find the inverse function of $\"\"$ .

\

Consider $\"\"$ .

\

Interchange $\"\"$ and $\"\"$ .

\

$\"\"$

\

Solve for $\"\"$ .

\

$\"\"$

\

Replace $\"\"$ with $\"\"$ and $\"\"$ with $\"\"$ .

\

$\"\"$

\

Thus, the inverse function is $\"\"$ .

\

$\"\"$

\

(b)

\

The inverse function is $\"\"$ .

\

The inverse function represents Fahrenheit temparature $\"\"$ as a function of Celsius temparature $\"\"$ .

\

$\"\"$

\

(c)

\

The function is $\"\"$ .

\

From the given data, $\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

Thus, the domain of inverse function is $\"\"$ .

\

$\"\"$

\

(d)

\

Consider $\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

Thus, the temparature is $\"\"$ .

\

$\"\"$

\

(a)

\

The inverse function is $\"\"$ .

\

(b)

\

The inverse function represents Fahrenheit temparature $\"\"$ as a function of Celsius temparature $\"\"$ .

\

(c)

\

Domain of the inverse function is $\"\"$ .

\

(d)

\

$\"\"$ .