question archive The functions h : {x, y} → {α, β, γ} and k : {α, β, γ} → {1, 2} are given by h(x) = α, h(y) = β, k(α) = 2, k(β) = 1, k(γ) = 1
The functions h : {x, y} → {α, β, γ} and k : {α, β, γ} → {1, 2} are given by h(x) = α, h(y) = β, k(α) = 2, k(β) = 1, k(γ) = 1
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The functions h : {x, y} → {α, β, γ} and k : {α, β, γ} → {1, 2} are given by h(x) = α, h(y) = β, k(α) = 2, k(β) = 1, k(γ) = 1.
(a) Classify each of h and k as bijective, injective, surjective, or neither.
(b) Find k ? h.
(c) Either find the inverse of k ? h or explain why k ? h is not invertible.
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