## Piecewise function

Consider the following functions:

$f(x) = 2x-1, { if } -2\leq x<1$
$2-x, { if } 1\leq{x}\leq{3}$
(sorry for the poor LaTex coding)
$g(x) = \sqrt{2-x}$

Find the domain and the range of $f o g$.
Then find a formula for $f o g$