(b) Show the following. Two mappings f:X→ Y and g:X→ Y are said to be equal (and we write this f = g) if f(x) = g(x) for every x in X. Let f, g, and h be any three mappings of a non-empty set X into itself, and show that multiplication of mappings is associative in the sense that f(gh) = (fg)h.

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Q: Calculus Question

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A: According to the given information,

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Q: (a) Give an example of two functions f: A→B and g: B-C such that f is both 1-1 and onto but gof is…

A: (a)let's define sets 𝐴, 𝐵, and 𝐶 as follows:Let 𝐴={1,2}Let 𝐵={3,4}Let 𝐶={5}Now, let's define…

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Q: Let A = (0,1,2,3). The relations R, S and T in the set A are defined as follows……

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