The formula for converting from Celsius to Fahrenheit temperatures is #F = 9/5 C+32#. What is the inverse of this formula? Is the inverse a function? What is the Celsius temperature that corresponds to 27°F?

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Answer 1 · 2017-09-21T17:36:56

See below.

You can find the inverse by rearranging the equation so C is in terms of F:

#F = 9/5C + 32#

Subtract 32 from both sides:

#F - 32 = 9/5C#

Multiply both sides by 5:

#5(F - 32) = 9C#

Divide both sides by 9:

#5/9(F-32) = C# or #C = 5/9( F - 32)#

For #27^oF#

#C = 5/9(27 - 32) => C = 5/9(-5) => C = -25/9#

-2.78 #C^o# 2.dp.

Yes the inverse is a one to one function.