Question: Let $f: R \rightarrow R: f(x)=3 x+2$, find $f\{f(x)\}$
Solution:
To find: $f\{f(x)\}$
Formula used: (i) $f$ o $f=f(f(x))$
Given: (i) $f: R \rightarrow R: f(x)=3 x+2$
We have,
$f\{f(x)\}=f(f(x))=f(3 x+2)$
$f \circ f=3(3 x+2)+2$
$=9 x+6+2$
$=9 x+8$
Ans) $f\{f(x)\}=9 x+8$
