Entropy of functions of a random variable.Let X be a discrete random variable.Show that the entropy of function of X is less than or equal to the entropy of X by justifying the following steps: H(X,g(X))=H(X)+H(g(X)|X) =H(X) H(X,g(X))=H(g(X))+H(X|g(X)) ≥H(g(X)) Thus H(g(X))≤H(X).