2006 AMC 12A Problems/Problem 18
Problem
The function has the property that for each real number in its domain, is also in its domain and
What is the largest set of real numbers that can be in the domain of ?
Solution
Plugging in into the function:
Since cannot have two values:
Therefore, the largest set of real numbers that can be in the domain of is
See also
2006 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 17 |
Followed by Problem 19 |
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All AMC 12 Problems and Solutions |
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