2. What is the largest possible subset of R that can be a domain for the real-valued function f(x) = (x3-x)1/2 ?

 

A.

B.

C.

D.

E.

 

 

Solution: The answer is C

 

Since we are dealing with a square root the quantity x3 x must be greater than or equal to 0. But

 

 

so the answer is C.