Let $f(x)=|x|$ and $g(x)=[x],$ then the value of $fog(-\frac{9}{2})-gof(-\frac{9}{2})$ is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1
$fog\left(-\frac{9}{2}\right)-gof\left(-\frac{9}{2}\right)$
$=f\left(\left[-\frac{9}{2}\right]\right)-g\left(\left|-\frac{9}{2}\right|\right)$
$=f(-5)-g(\frac{9}{2})$
$=|-5|-[\frac{9}{2}]=5-4=1$