Consider the function .
What is and ?
1. Using the principle:
If and are inverse functions, then and for in the domains of and , respectively.
So, we expect and to both equal .
2. For the function :
First, find the inverse function .
Let .
Solve for in terms of :
, so .
Thus, .
3. Now calculate :
.
Since , then .
Substituting Click "Show Answer" to reveal the answer and analysis
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