Let $d,f,$ and $g$ be defined as follows.

$d$:$\{0,1{\}}^4\{0,1{\}}^4.d(x)$ is obtained from $x$ by removing the second bit and placing it at the end. For example, $d(1011)=1110.$

$f$:$\{0,1{\}}^4\{0,1{\}}^4.f(x)$ is obtained from $x$ by replacing the last bit with $1.$ For example, $f(1000)=1001.$

$g$:$\{0,1{\}}^4\{0,1{\}}^3*g(x)$ is obtained from $x$ by removing the first bit. For example, $g(1000)=000.$

Is $g$ of well defined: Answer true or false

True

False