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Q.

If $f : A \to B$ is a bijective function, then $f^{- 1} o f$ is equal to

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a

${fof}^{- 1}$

b

f

c

$f^{- 1}$

d

I_A (the identity map of the set A)

answer is D.

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Detailed Solution

$f : A \to B$
f is a function, then f^-1 is also a bijective function.
Composite function $(f^{- 1} of) = I_{A}$

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If f : A→B is a bijective function, then f-1of is equal to