2004 AMC 12B Problems/Problem 13
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Problem
If 
and 
with 
and 
real, what is the value of 
?
Solution
By the definition of an inverse function, 
. By comparing coefficients, we have 
and 
. Simplifying,
and 
. Thus 
.
See also
| 2004 AMC 12B (Problems • Resources) | ||
| Preceded by Problem 12 | Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
