The domain of the function f(x) = √(2x - 22) is all x values greater than or equal to 11, expressed in interval notation as [11, ∞).
The domain of a function represents all the possible input values (x values) for which the function is defined.
For the function f(x) = √(2x - 22), the expression under the square root, 2x - 22, must be greater than or equal to zero, since square roots of negative numbers are not real. Thus, we set the expression inside the square root to ≥ 0:
2x - 22 ≥ 0 → 2x ≥ 22 → x ≥ 11
The interval notation for this domain is [11, ∞).