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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Transcript

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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.