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Let f(x) be a function defined in \lbrack0,5\rbrack such that f^2(x) = 1 ∀ x∈\lbrack0,5\rbrack and f(x) is discontinuous only at all integers in \lbrack0,5\rbrack. Find the total number of possible functions.

Answer» Let f(x) be a function defined in \lbrack0,5\rbrack such that f^2(x) = 1 ∀ x∈\lbrack0,5\rbrack and f(x) is discontinuous only at all integers in \lbrack0,5\rbrack. Find the total number of possible functions.


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