JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

The solution set of the equation

[x]^2+[x+1]-3=0

, where

[\cdot]

represents greatest integer function is:

View answer and explanation

Correct option: B

[-2,-1) \cup[1,2)

Option B ([-2,-1) ∪[1,2)) is correct because it represents the solution set obtained by solving the equation with the greatest integer function.

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f\left( x \right) = x - \left[ x \right]

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S=\left\{x: f(x)=f^{-1}(x)\right\}