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A function is invertible if it is ____________

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in Mathematics - Class 12 by (687k points)
A function is invertible if it is ____________

(a) surjective

(b) bijective

(c) injective

(d) neither surjective nor injective

The 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

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Best 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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