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Prove that the function , defined by is a bijective function.

Mathematics20262 marksDerivation
Prove that the function $f: \mathbb{Z} \to \mathbb{Z}$, defined by $f(x) = x - 5$ is a bijective function.

Given: $f: \mathbb{Z} \to \mathbb{Z}$, defined by $f(x) = x - 5$

To show: $f$ is a bijective function.

Answer

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Relations and Functions

From ISC 2026 Improvement Mathematics Paper 1, question 2(i).