Nova Press: Set D - Defined functions

Question Name	Average time to answer (seconds)	Total correct answers	Total incorrect answers
For all p ≠ 2 define by the equation . If p = 3, then	53	59	6
Let be defined by the equation . Then which of the following equals ... ...	45	59	2
For all a and b, define to be . What is the value of ?	64	46	14
If denotes the area of a circle with diameter d, then which of the following ... ...	117	22	35
For all real numbers x, y, and z, let . For what value of a is equal ... ...	89	45	12
Letx . If , then	116	44	15
For all real numbers a and b, where , let . Then which of the following ... ...	234	40	16
The operation is defined for all non-zero x and y by the equation . ... ...	75	32	21
Let . For what value of x does for all values of y?	132	36	15
For all positive numbers n, . What is the value of ?	59	44	7