Question

F(x)=√2x-16
how to find the domain

Answer 1

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:

• 2x - 16 ≥ 0
• 2x ≥ 16
• x ≥ 8

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.