Which of the following conditions guarantees that a function possesses an inverse…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Which of the following conditions guarantees that a function f:A→Bf:A\to B possesses an inverse function f−1:B→Af^{-1}:B\to A? (a) ff\;\text{is one–to–one} (b) ff\;\text{is both one–to–one \text{and} onto} (c) ff\;\text{is onto} (d) ff\;\text{is continuous \text{and} one–to–one}

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