Question

Determine which of the following functions are injective (one-to-one) on their respective domains and codomains (a)...

Determine which of the following functions are injective (one-to-one) on their respective domains and codomains

(a) f : ℝ → [0,∞), where f(x) = x²

(b) g : ℕ → ℕ, where g(x) = 3x − 2

(c) h : ℤ_7 → ℤ_7, where h(x) ≡ 5x + 2 (mod 7)

(d) p : ℕ ⋃ {0} → ℕ ⋃ {0}, where p(x) = x div 3

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