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?

1 Answer
Sep 21, 2017

See below.

Explanation:

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.