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.