$1\mathrm{.}1$ Calculate the domain $of$ the function, $h(x)=\frac{1}{\sqrt[\phantom{2}]{x^2-4x-5}}.$ Show all your calculations.

$1\mathrm{.}2Ifg(p)=\frac{p}{p+1}$ and $h(p)=\frac{p+1}{p+2}.$ Find the domains $of$ the functions:

$a.g.h$