You can find an equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit by finding the function’s constant term C.
The given function:
[tex]F(C) = \frac{9}{5} C + 32[/tex]
The equation for finding the temperature in degrees Celsius for a given temperature in degrees Fahrenheit is calculated as follows;
[tex]F = \frac{9}{5} C + 32\\\\\frac{9}{5} C = F - 32\\\\9C = 5(F-32)\\\\C = \frac{5}{9} (F - 32)[/tex]
Thus, we can conclude that you can find an equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit by finding the function’s constant term C.
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We want to change the independent variable in a function for the dependent variable (and vice versa).
We will get:
[tex]C(F) = \frac{5}{9}*(F - 32)[/tex]
Here we know that the function:
[tex]F(C) = \frac{9}{5}*C + 32[/tex]
Can be used to transform a temperature in degrees Celsius to degrees Fahrenheit.
To find a function to transform from degrees Fahrenheit to degrees Celsius what we need to do is to isolate C in the above function. So we get the transpose of the original function.
We will get:
[tex]F(C) = \frac{9}{5}*C + 32\\\\F(C) - 32 = \frac{9}{5}*C \\\\(F(C) - 32)*\frac{5}{9} = C\\\\[/tex]
Then we have a new function:
[tex]C(F) = \frac{5}{9}*(F - 32)[/tex]
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https://brainly.com/question/11307391
