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The formula for converting a temperature in degrees Celsius to degrees Fahrenheit is [tex]F(C)=\frac{9}{5} C + 32[/tex]. The inverse function will convert a temperature in degrees Fahrenheit to degrees Celsius.

What is the formula for converting from degrees Fahrenheit to degrees Celsius?

[tex]C(F) = \square[/tex]

[tex]F = \square[/tex]

Answer :

To convert a temperature from degrees Fahrenheit to degrees Celsius, we need to find the inverse function of the given formula [tex]\( F(C) = \frac{9}{5}C + 32 \)[/tex].

Here's how you can derive the formula step-by-step:

1. Start with the original formula for Fahrenheit:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]

2. Solve for [tex]\( C \)[/tex]:
- First, subtract 32 from both sides to isolate the term with [tex]\( C \)[/tex]:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]

- Next, multiply both sides by [tex]\( \frac{5}{9} \)[/tex] to solve for [tex]\( C \)[/tex]:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]

This formula, [tex]\( C = \frac{5}{9}(F - 32) \)[/tex], is used to convert a temperature in degrees Fahrenheit to degrees Celsius.

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