Difference between revisions of "2006 AMC 10A Problems/Problem 2"
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<math> \mathrm{(A) \ } -h\qquad \mathrm{(B) \ } 0\qquad \mathrm{(C) \ } h\qquad \mathrm{(D) \ } 2h\qquad \mathrm{(E) \ } h^3 </math> | <math> \mathrm{(A) \ } -h\qquad \mathrm{(B) \ } 0\qquad \mathrm{(C) \ } h\qquad \mathrm{(D) \ } 2h\qquad \mathrm{(E) \ } h^3 </math> | ||
== Solution == | == Solution == | ||
+ | Plugging our values in the function, we have | ||
+ | |||
+ | <center><math>h^3-h</math></center> | ||
+ | |||
+ | Plugging in the function once more, we have | ||
+ | |||
+ | <center><math>h^3-(h^3-h)=h, (C)</math></center> | ||
== See Also == | == See Also == | ||
*[[2006 AMC 10A Problems]] | *[[2006 AMC 10A Problems]] |
Revision as of 14:22, 3 July 2006
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)