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Question: Answered & Verified by Expert
If fx=x2-x21+x2-x2 (where . represents the greatest integer part of x ), then the range of fx is
MathematicsFunctionsJEE Main
Options:
  • A 0,1
  • B -1,1
  • C 0,
  • D 0,12
Solution:
2467 Upvotes Verified Answer
The correct answer is: 0,12

x2-x2=x2
fx=x21+x2=1+x2-11+x2=1-11+x2

0x2<11x2+1<2
12<1x2+11-12>-11+x2-1
12>1+-11+x20 Range of fx0,12

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