Answer: To find the domain of the function f(x) = √(1/2x - 10) + 3, we need to consider the restrictions on the values of x that make the function defined.
The square root function (√) is defined only for non-negative real numbers. Additionally, the expression inside the square root must not be negative, as that would result in an imaginary or undefined value.
In this case, we have the expression 1/2x - 10 inside the square root. For the expression to be non-negative, we must have:
1/2x - 10 ≥ 0
Simplifying the inequality:
1/2x ≥ 10
x ≥ 20
Therefore, the inequality that can be used to find the domain of f(x) is x ≥ 20. This means that the function is defined for all x-values greater than or equal to 20.