For an invertible function

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

Problem

For an invertible function f:A→Bf:A\to B, which of the following correctly describes the domain and range of f−1f^{-1}? (a) Domain(f−1)=A,  Range(f−1)=B\text{Domain}(f^{-1}) = A,\; \text{Range}(f^{-1}) = B (b) Domain(f−1)=B,  Range(f−1)=B\text{Domain}(f^{-1}) = B,\; \text{Range}(f^{-1}) = B (c) Domain(f−1)=B,  Range(f−1)=A\text{Domain}(f^{-1}) = B,\; \text{Range}(f^{-1}) = A (d) Domain(f−1)=A,  Range(f−1)=A\text{Domain}(f^{-1}) = A,\; \text{Range}(f^{-1}) = A

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