Let f be the greatest integer function defined as f(x) = [x] and g be the modules function defined as
Question:
Let $f$ be the greatest integer function defined as $f(x)=[x]$ and $g$ be the modules function defined as $g(x)=|x|$, then the value of $g o f\left(-\frac{5}{4}\right)$ is ___________.
Solution:
Given: f(x) = [x] and g(x) = |x|
$g \circ f\left(-\frac{5}{4}\right)=g\left(f\left(-\frac{5}{4}\right)\right)$
$=g\left(\left[-\frac{5}{4}\right]\right)$
$=g(-2)$
$=|-2|$
$=2$
Hence, the value of $g \circ f\left(-\frac{5}{4}\right)$ is 2 .
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.