Question

Which value of x is in the domain of

f(x) = √(x – 8)

A. X = 10
B. X = 7
C. X = –8
D. X = 0

Answer 1

The value of x that is in the domain of the function f(x) = √(x – 8) is A. x = 10, as it is the only option that results in a non-negative number inside the square root.

Step-by-step explanation:

The question pertains to identifying which value of x is within the domain of the function f(x) = √(x – 8). The domain of a square root function includes all values of x for which the expression inside the square root is non-negative since the square root of a negative number is not defined in the set of real numbers. Therefore, x must be greater than or equal to 8 for the function to be real-valued.

Let's evaluate the options provided:

• A. x = 10: This is in the domain because 10 - 8 = 2, and the square root of 2 is a real number.
• B. x = 7: This is not in the domain because 7 - 8 = -1, and the square root of -1 is not a real number.
• C. x = –8: This is not in the domain because -8 - 8 = -16, and the square root of -16 is not a real number.
• D. x = 0: This is not in the domain because 0 - 8 = -8, and the square root of -8 is not a real number.

Therefore, the correct answer is A. x = 10, which is the value within the domain of the function f(x).