Question

Determine the domain of the function.

f as a function of x is equal to the square root of eleven minus x.

Answer Choices:
All real numbers except 11
x > 11
All real numbers
x ≤ 11

Answer 1

Option D, x ≤ 11

Explanation:

We have to determine the domain of the function.

f(x) =
`√(11-x)`

This function is defined for the positive values of ( 11 - x ) because under root of negative terms is not defined.

Therefore, domain of the given function will be ( 11 - x ) ≥ 0

x ≤ 11

Option D, x ≤ 11 is the answer.