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# Write $fog,$ if $f : R \rightarrow R$ and $g: R \rightarrow R$ are given by $f(x) = | x| \: and \: g(x) = | 5x-2 |$

Toolbox:
• Given two functions $g:A \to B$ and $f:B \to C$, then composition of $g$ and $g$, $fog:A \to C$ by $fog (x)=f(g(x))\;for\; all \;x \in A$
$f(x)=\mid x\mid$ and $g(x)=\mid 5x-2\mid$
$\therefore fog=\mid 5x-2\mid$