Let f : X → Y is a function such that

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let f : X → Y is a function such that there exists a function g : Y → X such that gof = Ix and fog =Iy then

Options:

f is one one but not onto

f is one one and onto

f is onto but not one one

None of these

Correct Answer:

f is one one and onto

Explanation:

Show that f is one one and onto using definitions.