Answer
$(f\circ g)(x)=|14x-8|$
$(g\circ f)(x)=14|x|-8$
Work Step by Step
$f(x)=|x|$ $;$ $g(x)=14x-8$
$(f\circ g)(x)$
To find $(f\circ g)(x)$, substitute $x$ by $g(x)$ in $f(x)$ and simplify if possible:
$(f\circ g)(x)=f(g(x))=|14x-8|$
$(g\circ f)(x)$
To find $(g\circ f)(x)$, substitute $x$ by $f(x)$ in $g(x)$ and simplify if possible:
$(g\circ f)(x)=g(f(x))=14|x|-8$