2006 AMC 10A Problems/Problem 2
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Problem
Define . What is
?
Solution
Plugging our values in the function, we have
![$h^3-h$](http://latex.artofproblemsolving.com/d/c/1/dc135149b834c1da7d7b9f3541a12e08be14791b.png)
Plugging in the function once more, we have
![$h^3-(h^3-h)=h, (C)$](http://latex.artofproblemsolving.com/c/1/7/c17534e48d27f8ba369007a844d478ec0f75285d.png)
Define . What is
?
Plugging our values in the function, we have
Plugging in the function once more, we have
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