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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 and interpret it.

What is the domain of the inverse function?

Added Mon, 08 Jun '15

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To find the inverse of the function solve the function for F.

C = 5/9(F-32)

>> C * 9/5 = F - 32

>> C * 9/5 + 32 = F

To find the Domain of the inverse, you need to find the range of the initial function.

The domain of the initial is stated as [-459.67, +infinity)

To find the range from the domain, plug in the critical values of the domain into the function.

C = 5/9 ( -459.67 - 32 ) = -273.15

C = 5/9 (infinity - 32) = infinity

Thus the range of the initial function is [-273.15, +infinity)

which means the domain of the inverse is [-273.15, +infinity)

Added Mon, 08 Jun '15

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