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Home  >>  CBSE XII  >>  Math  >>  Model Papers
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If \( f : R \rightarrow R\) is defined by \( f(x)=3x+2\), define \( f[f(x)]. \)

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  • Given two functions $f:A \to B $ and $g:B \to C$, then composition of $f$ and $g$, $gof:A \to C$ by $ gof (x)=g(f(x))\;for\; all \;x \in A$
$f(x)=3x+2$
$f(f(x))=3(3x+2)+2$
$\qquad\quad=9x+6+2$
$\qquad\quad=9x+8$
answered Nov 11, 2013 by sreemathi.v
 

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