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BITSAT2024MathematicsFunctionsActual

Let [x] denote the greatest integer x . If f(x)=[x] and g(x)=|x| , then the value of f (g ( 8 5 ) )-g (f (- 8 5 ) ) is

Options

  1. A2
  2. B-2
  3. C1
  4. D-1

Correct answer

D. -1

Step-by-step solution

Given, f(x)=[x] and g(x)=|x| Now, gathered f ( -8 5 )= [- 8 5 ]=-2 (i) g ( 8 5 )= | 8 5 |= 8 5 (ii) gathered Now, f (g ( 8 5 ) )-g (f (- 8 5 ) )=f ( 8 5 )-g(-2) By Eqs. (i) and (ii), aligned & = [ 8 5 ]-|-2| & =1-2 & =-1 aligned

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