What Are Inverse Functions?

When $f(x)$ is one-to-one and non-decreasing, the domain is $(-\infty,\infty)$

When $f(x)$ is one-to-one and non-decreasing, the domain is $x<0$

When $f(x)$ is one-to-one and non-decreasing, the domain is $x>0$

$f^{-1}$ when restricted to the that domain $=\sqrt x+5$

$f^{-1}$ when restricted to the that domain $=\sqrt{x-5}$

$f^{-1}$ when restricted to the that domain $=\sqrt{x+5}$