$\"\"$

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Formula for Celsius temperature $\"\"$ as a function of Fahrenheit temperature $\"\"$ is

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$\"\"$ , where $\"\"$ .

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Consider $\"\"$ .

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Inverse of the function $\"\"$ is given by $\"\"$ .

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Solve equation $\"\"$ for $\"\"$ .

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$\"\"$

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The inverse function is a Fahrenheit temperature in terms of Celsius temperature

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$\"\"$ .

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$\"\"$

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Domain of $\"\"$ is the range of $\"\"$ .

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To find the range of $\"\"$ ,

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Evaluate $\"\"$ and $\"\"$ as the domain of the function is $\"\"$

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$\"\"$ .

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$\"\"$ .

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Range of the function $\"\"$ is $\"\"$ .

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

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$\"\"$

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Inverse of the function is $\"\"$ .

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