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 _____________

If f(x) = [x] and g(x) = |x|, then value of gof (-5/4) is - Teachoo

Question 11 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

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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

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.