Problem:
For positive numbers x and y the operation â™ (x,y) is defined as
♠(x,y)=x−y1​
What is â™ (2,â™ (2,2))?
Answer Choices:
A. 32​
B. 1
C. 34​
D. 35​
E. 2
Solution:
Note that ♠(2,2)=2−21​=23​. Therefore
♠(2,♠(2,2))=♠(2,23​)=2−32​=(C)34​​
The problems on this page are the property of the MAA's American Mathematics Competitions