(A) f is one-one onto
(B) f is many-one onto
(C) f is one-one but not onto
(D) f is neither one-one nor onto Rationalised 2023-24
MATHEMATICS
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1 4  Composition of Functions and Invertible Function
Definition 8 Let f : A → B and g : B → C be two functions Then the composition of
f and g, denoted by gof, is defined as the function gof : A → C given by
gof (x) = g(f (x)), ∀  x ∈ A