Answer :
The inverse of the Fahrenheit to Celsius formula is C=(F-32)\times\frac{5}{9}, which is indeed a function. To convert 12°F to Celsius you get approximately -11.11°C. The Celsius scale is known as centigrade because it is divided into 100 steps between the freezing and boiling points of water.
Converting Fahrenheit to Celsius
The formula for converting from Fahrenheit to Celsius is given by C=(F-32) imes\frac{5}{9}. This formula is derived by taking the original formula for converting Celsius to Fahrenheit, F=\frac{9}{5}C+32, and solving for C. In this inverse function, C represents the temperature in degrees Celsius, and F represents the temperature in degrees Fahrenheit.
The inverse of the function is a function itself, as it meets the criteria of assigning exactly one output (Celsius temperature) to each input (Fahrenheit temperature).
To find the Celsius temperature that corresponds to 12°F using the inverse formula, we plug in the value of F: C=(12-32) imes\frac{5}{9}=\frac{-20}{9}
\approx-11.11\degree C.
To determine the temperature in degrees Celsius on a warm day at 88°F, you would similarly calculate: C=(88-32) imes\frac{5}{9}=\frac{56}{9}
\approx31.11\degree C.
Why Celsius is Also Called Centigrade
The Celsius scale is sometimes referred to as the centigrade scale because the scale was historically based on 100 divisions or grades between the freezing point (0°C) and boiling point (100°C) of water.
