Find g ? f, (g ? f)?1, g?1, f?1, and f?1 ? g?1, and state
Chapter 7, Problem 23E(choose chapter or problem)
Problem 23E
Find g ◦ f, (g ◦ f)−1, g−1, f−1, and f−1 ◦ g−1, and state how (g ◦ f)−1 and f−1 ◦ g−1 are related.
Exercise
Let X = {a, c, b}, Y = {x, y, z}, and Z = {u, v, w}. Define f: X → Y and g: Y → Z by the arrow diagrams below.
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