Let X be a topological space defined as the disjoint union of two spaces A and B, i.e., X = A ⨿ B.

Is it always true that the topological complexity of X satisfies:

TC(X) = max{TC(A), TC(B)}?

If so, is there a formal proof or standard reference in the literature that establishes this result?

Any clarification or citation would be greatly appreciated.