SOLUTION: What is the domain of the function f(x) = x^(1/2) ? a. all real numbers b. all real numbers except x = 0 c. all real numbers except x = 1 d. all real numbers except x =

Algebra ->  Equations -> SOLUTION: What is the domain of the function f(x) = x^(1/2) ? a. all real numbers b. all real numbers except x = 0 c. all real numbers except x = 1 d. all real numbers except x =      Log On


   

Question 50490: What is the domain of the function f(x) = x^(1/2) ?
a. all real numbers
b. all real numbers except x = 0
c. all real numbers except x = 1
d. all real numbers except x = -1 and x = 1
e. all non-negative real numbers
f. none of these
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^(1/2)
f(x) = %28sqrt%28x%29%29
You can only find the square root of a number that is greater than or equal to zero. You cannot take the square root of a negative number. Otherwise, it is considered an imaginary number (i).
.
Since zero is neither negative nor positive, it is considered a "non-negative" number. So, x>=0 or x must be equal to or greater than all non-negative real numbers.