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In a function \(f:A\to B\), an element \(y\)'s preimage belongs to which set?

Answer and explanation

Correct answer: An element of the domain \(A\)

If \(f(x)=y\), then \(x\) is called the preimage of \(y\). Thus, a preimage is always an element of the domain \(A\), whereas \(y\) is an element of the codomain \(B\). Exam tip: the input comes from the domain and the output belongs to the codomain.

Related tags

Relations And FunctionsFunctionsPreimageDomainCodomainFunctions As A Special Kind Of RelationMathematicsClass 11 Mcq

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