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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 ofΒ  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) = [π‘₯] and g be the modulus function defined as g(x) = |π‘₯|, then the value of π‘”π‘œπ‘“(βˆ’5/4) is _____________ π‘”π‘œπ‘“((βˆ’5)/4) = 𝑔(𝑓((βˆ’5)/4)) Finding 𝒇((βˆ’πŸ“)/πŸ’) 𝒇((βˆ’πŸ“)/πŸ’) = [(βˆ’5)/4] = [–1.25] = –2 Greatest integer less than –1.25 is –2 Now, π‘”π‘œπ‘“((βˆ’5)/4) = 𝑔(𝑓((βˆ’5)/4)) = 𝑔(βˆ’2) = |βˆ’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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.