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A function is invertible if it is ____________(a) surjective(b) bijective(c) injective(d) neither surjective nor injectiveThe question was asked in final exam.My question comes from Composition of Functions and Invertible Function in division Relations and Functions of Mathematics – Class 12

Answer»

The CORRECT answer is (b) bijective

Explanation: A FUNCTION is invertible if and only if it is bijective i.e. the function is both injective and surjective. If a function f:A→B is bijective, then there exists a function G:B→A such that f(X)=y⇔g(y)=x, then g is called the INVERSE of the function.



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