Question

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

• A. $fo{f}^{-1}$
• B. $f$
• C. $f^{-1}$
• D. $I_A$(the identity map of the set A)

Answer 1

Answer: (A), (D)

The correct options are
A $fo{f}^{-1}$
D $I_A$(the identity map of the set A)

It is fundamental concept that if $f$ is bijective function then, $f^{-1}of=I$ (Identity function)