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

X≥250 Im sorry I don t know how to explain it very well...

The function c(f) = 5/9 (f-32) allows you to convert

athenasartin1

10.03.2022

For this case we have the following function:

$c (f) = \frac {5} {9} (f-32)$

We must find the inverse function. For this we follow the steps below:

Replace c (f) with y:

$y = \frac {5} {9} (f-32)$

We exchange variables:

$\frac {5} {9} (y-32) = f$ f = \frac {5} {9} (y-32)

We solve for "y":

$\frac {5} {9} (y-32) = f$

We multiply by $\frac {9} {5}$ on both sides of the equation:

$y-32 = \frac {9} {5} f$

We add 32 to both sides of the equation:

$y = \frac {9} {5} f + 32$

We change y by $c^{ -1} (f):$

$c^{-1} (f) = \frac {9} {5} f + 32$

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