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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 _____________


Transcript

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

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