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2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C...

2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C = {u, v, w}, Define f : A→B by f(p) = m, f(q) = k, f(r) = l, and f(s) = n, and define g : B→C by g(k) = v, g(l) = w, g(m) = u, and g(n) = w. Also define h : A→C by h = g ◦ f. (a) Write out the values of h. (b) Why is it that some x ∈ A has h(x) = u? Explain in terms of f and g.

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