1996 AHSME Problems/Problem 6
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Problem 6
If , then
Solution
Plugging in into the function will give
. Since
, this gives
.
Plugging in into the function will give
. Since
and
, this gives
.
Plugging in will give a
factor as the second term, giving an answer of
.
Plugging in will give
. The last term is
, while the first term is
Adding up all four values, the answer is , and the right answer is
.
See also
1996 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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All AHSME Problems and Solutions |