Final answer:
The domain of the function f(x) = √(2x - 16) is found by setting the quantity under the square root to be greater than or equal to zero, which gives the domain as all real numbers x ≥ 8.
Step-by-step explanation:
To find the domain of the function f(x) = √(2x - 16), we need to consider the restrictions on x that result from the square root. For a square root to be defined in real numbers, the quantity under the root must be greater than or equal to zero. Therefore, we set up the inequality 2x - 16 ≥ 0.
Solving for x gives:
Consequently, the function's domain, f(x), encompasses all real numbers where x is greater than or equal to 8, ensuring the square root's validity within the function and demonstrating that x must adhere to values of 8 or higher for f(x) to be defined.