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
2024
BITSAT 2024 (Memory Based Paper 3)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 2
- B. -2
- C. 1
- D. -1
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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