Question 11 - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards
Last updated at Dec. 16, 2024 by Teachoo
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 of gof(-5/4) is _____________
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Question 11 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 of 𝑔𝑜𝑓(−5/4) is _____________
𝑔𝑜𝑓((−5)/4) = 𝑔(𝑓((−5)/4))
Finding 𝒇((−𝟓)/𝟒)
𝒇((−𝟓)/𝟒) = [(−5)/4]
= [–1.25]
= –2
Greatest integer less than –1.25 is –2
Now,
𝑔𝑜𝑓((−5)/4) = 𝑔(𝑓((−5)/4))
= 𝑔(−2)
= |−2|
= 2
So, answer is 2
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
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