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 ofĀ  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) = [š‘„] and g be the modulus function defined as g(x) = |š‘„|, then the value of š‘”š‘œš‘“(āˆ’5/4) is _____________ š‘”š‘œš‘“((āˆ’5)/4) = š‘”(š‘“((āˆ’5)/4)) Finding š’‡((āˆ’šŸ“)/šŸ’) š’‡((āˆ’šŸ“)/šŸ’) = [(āˆ’5)/4] = [–1.25] = –2 Greatest integer less than –1.25 is –2 Now, š‘”š‘œš‘“((āˆ’5)/4) = š‘”(š‘“((āˆ’5)/4)) = š‘”(āˆ’2) = |āˆ’2| = 2 So, answer is 2

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