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 _____________

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) = [๐‘ฅ] and g be the modulus function defined as g(x) = |๐‘ฅ|, then the value of ๐‘”๐‘œ๐‘“(โˆ’5/4) is _____________ ๐‘”๐‘œ๐‘“((โˆ’5)/4) = ๐‘”(๐‘“((โˆ’5)/4)) Finding ๐’‡((โˆ’๐Ÿ“)/๐Ÿ’) ๐’‡((โˆ’๐Ÿ“)/๐Ÿ’) = [(โˆ’5)/4] = [โ€“1.25] = โ€“2 Greatest integer less than โ€“1.25 is โ€“2 Now, ๐‘”๐‘œ๐‘“((โˆ’5)/4) = ๐‘”(๐‘“((โˆ’5)/4)) = ๐‘”(โˆ’2) = |โˆ’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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo