2) Suppose again that (X, d) be a metric space. For f₁, fn XR a finite family of functions, the functions max ₁ fi, min-1 fi: X → R are defined by n (min fi) (x) min(f₁(x). , fn(x)) and (max fi)(x) = max(f₁(x)….., fn(x)), for x ≤ X. (1) If each fi, i = 1,...,n is Lipschitz, show that both min-₁ f; and max 1 fi are Lipschitz TTD 11 =

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