Which additional property must a function possess

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

Problem

Which additional property must a function f:X→Yf:X\to Y possess, in addition to being one–one, so that an inverse function f−1:Y→Xf^{-1}:Y\to X is guaranteed to exist? (a) Continuity (b) Surjectivity (onto) (c) Differentiability (d) Strict monotonicity

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