Answer
$f(x)=\sqrt{x}$
$g(x)=x-2$
$h(x)=2x$
Work Step by Step
One way to identify the functions f, g, and h is to observe the operations used to get from $x$ to $\sqrt{2x-2}$. First $x$ is multiplied by 2, then subtracted by 2, lastly the square root is taken from the expression. So the three functions are:
$f(x)=\sqrt{x}$
$g(x)=x-2$
$h(x)=2x$