Answer
$(f\circ g)(x)=|10x-3|$
$(g\circ f)(x)=10|x|-3$
Work Step by Step
$f(x)=|x|$ $;$ $g(x)=10x-3$
$(f\circ g)(x)$
To find $(f\circ g)(x)$, substitute $x$ by $g(x)$ in $f(x)$ and simplify:
$(f\circ g)(x)=f(g(x))=|10x-3|$
$(g\circ f)(x)$
To find $(g\circ f)(x)$, substitute $x$ by $f(x)$ in $g(x)$ and simplify:
$(g\circ f)(x)=g(f(x))=10|x|-3$
