Difference between revisions of "2001 AMC 12 Problems/Problem 9"
(New page: == Problem == Let <math>f</math> be a function satisfying <math>f(xy) = \frac{f(x)}y</math> for all postitive real numbers <math>x</math> and <math>y</math>, and <math>f(500) =3</math>. Wh...) |
(No difference)
|
Revision as of 01:51, 8 February 2009
Problem
Let be a function satisfying for all postitive real numbers and , and . What is ?
Solution
$f(500\cdot\frac65) = \frac3{\frac{65}} = \frac25$ (Error compiling LaTeX. Unknown error_msg), so the answer is .