Question

Let $f\left(x\right)=\{\begin{array}{c}1+\left|x\right|,x<-1\\ \left[x\right],x\ge -1\end{array}$ where $\left[\right]$ denotes the greatest integer function,
Find $f\left\{f(-2.3)\right\}$

Answer 1

$f\left(x\right)=\{\begin{array}{c}1+\left|x\right|,x<-1\\ \left[x\right],x\ge -1\end{array}$

$f\left\{f\right(-2,3\left)\right\}$

$f\left(f\right(-2.3\left)\right)=f\{1+|-2.3|\}$

$=f\left\{3.3\right\}$

$=\left[3.3\right]$

$=3$ Ans