Question: Consider two functions f : 25 > 25 and g : Z5 > Z5, where f([X]) = [x2] and g([x]) = [x6]. Prove or disprove

Consider two functions f : 25 > 25 and g :

Consider two functions f : 25 > 25 and g : Z5 > Z5, where f([X]) = [x2] and g([x]) = [x6]. Prove or disprove that f = 9. Let A, B and C be nonempty sets and let f : A > 5, g: B > C and h : B ) C be functions. For each of the following, prove or disprove: (a) Ifgof=hof, theng=h. (b) If f is bijective and go f=ho f, then 9 = h

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