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KCET2021MathematicsFunctions

Domain of the function f(x)= 1 [x² ]-[x]-6 where [x] is greatest integer x is

Options

  1. A(- ,-2) [4, )
  2. B(- ,-2) [3, ]
  3. C[- ,-2] [4, ]
  4. D[- ,-2] [3, )

Correct answer

A. (- ,-2) [4, )

Step-by-step solution

Given function, f(x)= 1 [x]²-[x]-6 where [x] is greatest integer x . array ll & [x]²-[x]-6>0 & [x]²-3[x]+2[x]-6>0 & ([x]-3)([x]+2)>0 & ([x]-3)>0,[x]+2 3,[x] < -2 & x [4, ), x (- ,-2) & x (- ,-2) [4, ) array

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