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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 | $

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  • 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 $g(x)=\mid 5x-2\mid$
$\therefore fog=\mid 5x-2\mid$
answered Nov 11, 2013 by sreemathi.v
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