Verified Solution • 2025–26 Session moderate

QJEEM23Ma73d3: JEE Main 2023 Mathematics - Class 11 JEEM23Ma73d3 Solution: The domain of the function f ( x ) = 1 [ x ] 2 − 3 [ x ] − 10…

The domain of the function f(x)=1[x]2−3[x]−10 is : ( where [x] denotes the greatest integer less than or equal to x )

Multiple Choice Options

  • A (−∞,−2)∪[6,∞)
  • B (−∞,−3]∪[6,∞)
  • C (−∞,−2)∪(5,∞)
  • D (−∞,−3]∪(5,∞)

Step-by-Step Verified Solution

f(x)=1[x]2−3[x]−10

For Domain [x]^2-3[x]-10>0

⇒([x]−5)([x]+2)>0⇒[x]∈(−∞,−2)∪(5,∞)∴x∈(−∞,−2)∪[6,∞)

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