JEE Main202528 Jan 2025Evening ShiftMathematicsFunctionsActual
Let [x] denote the greatest integer less than or equal to x . Then the domain of f(x)= ⁻¹(2[x]+1) is :
Options
- A(- ,-1] [0, )
- B(- ,-1] [1, )
- C(- , )
- D(- , )- 0
Correct answer
C. (- , )
Step-by-step solution
array ll f(x)= ⁻¹(2[x]+1) 2[x]+1 1 & or 2[x]+1 -1 2[x] 0 & or 2[x] -2 [x] 0 & or [x] -1 x 0 & or x 0 array Domain of f(x) is (- , )