Final answer:
The value of x that is in the domain of f(x)=√x−8 is x = 10.
Therefore, the correct answer is x=10 (Option A).
Step-by-step explanation:
To find the values of x that are in the domain of f(x)=√x−8, we need to identify which values of x will result in a valid square root. The square root function requires the expression inside the square root to be greater than or equal to zero.
So, we set the expression x-8 greater than or equal to zero and solve for x:
x-8 ≥ 0
x ≥ 8
Therefore, any value of x that is greater than or equal to 8 is in the domain of f(x)=√x−8. Therefore, the correct answer is x=10 (Option A).