Question

the function f(c)=9/5c+32 allows you to convert degrees celsius to degrees fahrenheit. find the inverse of the function so that you can convert degrees fahrenheit back to degrees celsius.

Answer 1

The formula is C=5/9(F-32).

Answer 2

The function
`f(C)=(5)/(9)(F-32)`, convert degrees Fahrenheit back to degrees Celsius.

Explanation:

Given : the function
`f(c)=(9)/(5)c+32` allows to convert degrees Celsius to degrees Fahrenheit.

We have to find the inverse of the function so that you can convert degrees Fahrenheit back to degrees Celsius.

Since
`f(c)=(9)/(5)c+32` convert degrees Celsius to degrees Fahrenheit.

So,
`f(c)=(9)/(5)c+32` can be written as
`F=(9)/(5)C+32`, where F is temperature in degrees Fahrenheit. and C is temperature in degrees Celsius.

Thus, to find the function that convert degrees Fahrenheit back to degrees Celsius.

Find the value of C in terms of F by solving
`F=(9)/(5)C+32`,

Subtract 32 both side, we have,

`F-32=(9)/(5)C`,

Multiply by
`(5)/(9)` we have,

`(5)/(9)(F-32)=C`,

Thus, the function
`f(C)=(5)/(9)(F-32)`, convert degrees Fahrenheit back to degrees Celsius.