Find inverse functions by solving f(x)=c for simple invertible functions and writing inverse expressions.
Interpret an inverse function value in context
Problem
\(C\) converts a Fahrenheit input to a Celsius output. Interpret \(C^{-1}(20)=68\) by labeling the inverse input and output with units, writing the equivalent original-function statement, and expressing the temperature equivalence in words.
Big Picture
What this problem is really about
In context, an inverse reverses not only the numbers but also the meanings and units of the input and output. We’ll label the original converter’s direction, reverse those roles for the inverse statement, and rewrite it as an equivalent forward-function fact before interpreting the physical correspondence.
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