Weber Adkins
10/28/2023 · Middle School
The function defined by \( F(x)=\frac{9}{5} x+32 \) gives the temperature \( F(x) \) (in degrees Fahrenheit) based on the temperature \( x \) (in Celsius). (a) Determine the temperature in Fahrenheit if the temperature in Celsius is \( 25^{\circ} \mathrm{C} \). (b) Write a function representing the inverse of \( F \) and interpret its meaning in context. (c) Determine the temperature in Celsius if the temperature in Fahrenheit is \( 23^{\circ} \mathrm{F} \).
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(a) \( 77^{\circ} \mathrm{F} \)
(b) \( F^{-1}(y) = \frac{5}{9} (y - 32) \) (converts Fahrenheit to Celsius)
(c) \( -5^{\circ} \mathrm{C} \)
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