Question $1$

$\{0,1]$

$f(x)$ is obtained by swapping the first and last bits. For example, $f(1010)=0011.$

Select the correct statement about the inverse of f $.$

$f^{-1}=f$

$f^{-1}(x)$ is obtained by replacing the last bit with $1$ and replacing the first bit with $0.$

$f^{-1}(x)$ is obtained by replacing the last bit with $0$ and replacing the first bit with $1.$

$$ f does not have a well$-$defined inverse.