If f be the greatest integer function defined as f(x) = [x] and g be the modulus function defined as g(x) = |x|, then the value ofย gof(-5/4) is _____________
CBSE Class 12 Sample Paper for 2020 Boards
CBSE Class 12 Sample Paper for 2020 Boards
Last updated at December 16, 2024 by Teachoo
Transcript
Question 11 If f be the greatest integer function defined as f(x) = [๐ฅ] and g be the modulus function defined as g(x) = |๐ฅ|, then the value of ๐๐๐(โ5/4) is _____________ ๐๐๐((โ5)/4) = ๐(๐((โ5)/4)) Finding ๐((โ๐)/๐) ๐((โ๐)/๐) = [(โ5)/4] = [โ1.25] = โ2 Greatest integer less than โ1.25 is โ2 Now, ๐๐๐((โ5)/4) = ๐(๐((โ5)/4)) = ๐(โ2) = |โ2| = 2 So, answer is 2