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# If $f : R \rightarrow R$ is defined by $f(x)=3x+2$, define $f[f(x)].$

Can you answer this question?

Toolbox:
• 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