2. We know R5 ={0, 1, 2, 3, 4} and R6{0, 1, 2, 3, 4, 5}. For each of thefollowing functions, determine if the function is an injection and determineif the function is a surjection. Justify all conclusions.* (a) f: R5 → R5 by f(x) = x² + 4 (mod 5), for all x e R5(b) g: R6 → R6 by g(x) = x² + 4 (mod 6), for all x e R6* (c) F: R5 → R5 by F(x) = x3 + 4 (mod 5), for all x e R5

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We know R5 {0, 1, 2, 3, 4} and R6 following functions, determine if the function is an injection and de {0, 1, 2, 3, 4, 5}. For eac if the function is a surjection. Justify all conclusions. * (a) f: R5 → R5 by f(x) = x² + 4 (mod 5), for all x e R5 (b) g: R6 → R6 by g(x) = x² + 4 (mod 6), for all x e R6 * (c) F: R5 → R5 by F(x) = x³ + 4 (mod 5), for all x e R5