f:$\{0,1\}4->\{0,1\}4$

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$.$

Group of answer choices

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.