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An onto function means that every element in the codomain must have a qunique preimage true of false

1 Answer

7 votes

Answer:

False

Explanation:

Onto function:-

Let two non empty set A and B .The function is defined from set A to set B.

If the function is onto then every element of y in codomain B has at-least one pre-image in the domain A .

Or

For every element in y codomain , there is at least one element x in the domain A such that

f(x)=y

If the function is onto then

Range=Codomain

If the function is onto then every element in the co-domain musta have a pre-image not unique.

Therefore, the given statement is false.

User Tai Paul
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