Final answer:
The question lacks the necessary information to determine the value of k in the equation g(x) = f(x) k. The provided references do not correspond to solving for k in the given equation. According to me option C is correct.
Step-by-step explanation:
The question, 'If g(x) = f(x) k, what is the value of k?' appears to be incomplete as it requires additional information to determine the value of k. Specifically, we need either the explicit form of g(x) and f(x) or the value of g(x) for a particular x where the value of f(x) for the same x is known.
However, reviewing the provided information, none of it directly corresponds to the equation g(x) = f(x) k in a way that allows us to solve for k. The formulas and values given relate to various mathematical and physical concepts, such as restoring force (F = -kx) and probabilities (P(N) = 1/k), but they don't provide a clear connection to the function g(x).
Without additional context or information that relates explicitly to g(x) = f(x) k, we cannot determine the value of k.