7. Let f {0, 1, 2, 3,..., 15} {0, 1, 2, 3,..., 15}, defined by f(x) = y = 5x + 2 (mod 16), where 0 ≤ y ≤ 15. Prove that f is one-to-one, and find the inverse function f-1 of f. :

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7. Let f {0, 1, 2, 3,..., 15}
where 0 ≤ y ≤ 15. Prove that
{0, 1, 2, 3,..., 15}, defined by f(x) = y = 5x + 2 (mod 16),
f is one-to-one, and find the inverse function f-1 of f.
Transcribed Image Text:7. Let f {0, 1, 2, 3,..., 15} where 0 ≤ y ≤ 15. Prove that {0, 1, 2, 3,..., 15}, defined by f(x) = y = 5x + 2 (mod 16), f is one-to-one, and find the inverse function f-1 of f.
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