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 ofĀ gof(-5/4) is _____________
CBSE Class 12 Sample Paper for 2020 Boards
CBSE Class 12 Sample Paper for 2020 Boards
Last updated at July 25, 2026 by Teachoo
Transcript
Question 11 If f be the greatest integer function defined as f(x) = [š„] and g be the modulus function defined as g(x) = |š„|, then the value of ššš(ā5/4) is _____________ ššš((ā5)/4) = š(š((ā5)/4)) Finding š((āš)/š) š((āš)/š) = [(ā5)/4] = [ā1.25] = ā2 Greatest integer less than ā1.25 is ā2 Now, ššš((ā5)/4) = š(š((ā5)/4)) = š(ā2) = |ā2| = 2 So, answer is 2