$\"\"$

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

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(a)

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

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Consider $\"\"$ .

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

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$\"\"$

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Solve for $\"\"$ .

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$\"\"$

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

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$\"\"$

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

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$\"\"$

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(b)

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The inverse function is $\"\"$ .

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

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$\"\"$

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(c)

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The function is $\"\"$ .

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

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

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$\"\"$

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

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$\"\"$

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(d)

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Consider $\"\"$ .

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

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$\"\"$

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

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$\"\"$

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(a)The inverse function is $\"\"$ .

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(b)

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

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(c)

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

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(d)

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$\"\"$ .