Question
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
BITSAT
Mathematics
Functions
2020
BITSAT 2020
BITSAT Mathematics Question (2020) — Solution
Options
- A. 2
- B. -2
- C. 1
- D. -1
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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