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BITSAT2020MathematicsFunctionsActual

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

aligned & Given that, f(x)=[x] and g(x)=|x| & Now, f ( g ( 8 5 ) )= g ( 8 5 )= [ 8 5 ]=1 aligned and g ( f (- 8 5 ) )= g ( [- 8 5 ] )= g (-2)=|-2|=2 f ( g ( 8 5 ) )- g ( f (- 8 5 ) )=1-2=-1

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