2006 AMC 10A Problems/Problem 2
Problem
Define . What is
?
Solution
Plugging our values in the function, we have
![$\displaystyle h^3-h$](http://latex.artofproblemsolving.com/c/e/1/ce1167e0a0c5b51a4385e01e624dbce035d70e39.png)
Plugging in the function once more, we have
![$\displaystyle h^3-(h^3-h)=h, (C)$](http://latex.artofproblemsolving.com/d/1/d/d1d5f5760ef436efef9ca946680769a65de174c4.png)
Define . What is
?
Plugging our values in the function, we have
Plugging in the function once more, we have
Something appears to not have loaded correctly.