Question

Have this function rule: f(x) = V x – 10

Is x = 1 part of the domain of the function?
Why or why not?

Answer 1

To determine if x = 1 is part of the domain of the function f(x) = V x - 10, we need to check if the expression within the square root is non-negative.

Step-by-step explanation:

The function rule is given as f(x) = V x - 10. To determine if x = 1 is part of the domain of the function, we need to check if the expression within the square root (V) is non-negative. Since the expression x - 10 is inside the square root, it needs to be greater than or equal to 0. Solving the inequality x - 10 ≥ 0, we find that x ≥ 10. Therefore, x = 1 is not part of the domain because it does not satisfy the condition of x ≥ 10.