Let $f(x)=|x|$ and $g(x)=[x],$ then the value of $fog(-\frac{9}{2})-gof(-\frac{9}{2})$ is :

-1 1 -9 9

1

The correct answer is Option (2) → 1 $fog\left(-\frac{9}{2}\right)-gof\left(-\frac{9}{2}\right)$ $=f\left(\left[-\frac{9}{2}\right]\right)-g\left(\left|-\frac{9}{2}\right|\right)$ $=f(-5)-g(\frac{9}{2})$ $=|-5|-[\frac{9}{2}]=5-4=1$