Question

Which value of (x) is in the domain of (f(x) = √{2} - 6)?

A. (x = 10)
B. (x = 5)
C. (x = 0)
D. (x = -4)

Answer 1

The value of x in the domain of f(x) = √2 - 6 is x = 0.

Step-by-step explanation:

Given function: f(x) = √2 - 6.

Determine the values of x in the domain considering the square root, which requires a non-negative argument.

Set the argument (2 - 6) under the square root to be greater than or equal to zero: 2 - 6 ≥ 0.

Solve for x: x ≤ -4.

Compare the result with the given options:

x = 10 does not satisfy the inequality.

x = 5 does not satisfy the inequality.

x = 0 satisfies the inequality.

x = -4 satisfies the inequality.

The correct value is x = 0.