as you may know, we start off to get the inverse of any expression by doing a quick switcheroo on the variables and then solving for y.
[tex] \bf \stackrel{f(x)}{y}=(x+2)^2-5\implies \stackrel{switcheroo}{\underline{x}=(\underline{y}+2)^2-5}\implies x+5=(y+2)^2 \\\\\\ \sqrt{x+5}=y+2\implies \sqrt{x+5}-2=\stackrel{f^{-1}(x)}{y} [/tex]
