Given that $f(x)=\sqrt[\phantom{2}]{2x+1}$ and $f(2)=\sqrt[\phantom{2}]{5},$ if $g$ is the inverse

of $f,$ what is the value of $g\text{'}(\sqrt[\phantom{2}]{5})?$

$\sqrt[\phantom{2}]{5}$

$2$

$2\sqrt[\phantom{2}]{2}$

$4$

$-1$