Potassium sorbate and sodium benzoate are salts of potassium with sorbic acid and sodium with benzoic acid respectively. As the kations are elementary and thus cannot decay under the influence of heat and the ionic bond between the kations and the anions are merely imaginary if in aequous solution, the question amounts to if the anions are heat stable or not. As for the sorbate, it decomposes at around 200°C depending on the exact environment by autooxidation (the Carbonyl group reacts with the double bonds). It will thus remain stable when food is cooked but not if fryed. The Benzoate Ion is chemically stable and wil not decompose under influence of heat.
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