Answer
$f(g(x))=|14x-8|$
$g(f(x))=14|x|-8$
Work Step by Step
f of g(x) means $f(g(x))$
$g(x)$ is given as $14x-8$
Therefore $f(g(x))=|14x-8|$
g of f(x) means $g(f(x))$
$f(x)$ is given as $|x|$, which is the absolute value of $x$.
Therefore $g(f(x))=14|x|-8$
