A real-world application of one-to-one functions is in encoding messages. If a functionencodes a message and its inversedecodes it, thenand. Given, the decoding functionis.
Answer & Analysis
Analysis
Question Analysis
This problem applies the concept of one-to-one functions to a real-world scenario involving encoding and decoding messages.
Key Concept Explanation
In a one-to-one function, the inverse function undoes the action of the function . For the encoding function , the decoding function should satisfy and .
Step-by-step Solution
1. Set :
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