Answer
$f(g(x))=|10x-3|$
$g(f(x))=10|x|-3$
Work Step by Step
f of g(x) means $f(g(x))$
$g(x)$ is given as $10x-3$
Therefore $f(g(x))=|10x-3|$
g of f(x) means $g(f(x))$
$f(x)$ is given as $|x|$, which is the absolute value of $x$.
Therefore $g(f(x))=10|x|-3$