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10040813
29.01.2021 •
Mathematics
Determine the volume of the triangular prism below.
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Ответ:
a) The inverse of the function is![F=\frac{9}{5}C+32](/tpl/images/0162/8442/b40d4.png)
b) The domain of the inverse function is C>1348.70.
Step-by-step explanation:
Given : The formula
, where
express the Celsius temperature C as a function of the Fahrenheit temperature F.
To find : a) A formula for the inverse function and interpret it.
b) What is the domain of the inverse function?
Solution :
a) The formula![C=\frac{5}{9}(F-32)](/tpl/images/0162/8442/c43b3.png)
The inverse function of the given formula is the value of F.
Taking F to one side and rest term to other side,
Therefore, The inverse of the function is![F=\frac{9}{5}C+32](/tpl/images/0162/8442/b40d4.png)
i.e. Fahrenheit temperature F as a function of the Celsius temperature C.
b) The domain of the inverse function.
We have given,![F2459.67](/tpl/images/0162/8442/0efb3.png)
Substituting in the formula,
The domain of the inverse function is C>1348.70.