QUESTION $1$

Given $f(x)=\frac{1}{x^2-1}$ and $g(x)=\sqrt[\phantom{2}]{x+1}.$

Find and simplify the following:

$1\mathrm{.}1f(g(x))$ and write down the domain for $f(g(x))in$ interval notation.

$1\mathrm{.}2,g^{-1}(x)$

$1\mathrm{.}3,f(-3)$

$[10]$