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Class 12
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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


Transcript

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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.