Question

If $f\left(x\right)=\{\begin{array}{c}1+|x|;x<-1\\ \left[x\right];x\ge -1\end{array}$ Also, $[.]$ is greater integer function then $f\left(f\right(-2.4\left)\right)$ is equal to :

• A. $-3$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is A $-3$

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

$f(-2.4)=1+\mid -2\cdot 4\mid =1+2\cdot 4=3\cdot 4$

$\begin{array}{cc}f\left(f\right(-2.4\left)\right)=f(3\cdot 4)& =[3\cdot 4]\\ & =3\end{array}$

$\therefore$ Answer: option (c)