If `f(x) = [x^2] + sqrt({x}^2`, where [] and {.} denote the greatest integer and fractional part functions respectively,then

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

If f(x)=x+{-x}+[x] , where [x] and {x} denotes greatest integer function and fractional part function respectively, then find the number of points at which f(x) is both discontinuous and non-differentiable in [-2,2] .

The range of function f(x)=log_(x)([x]), where [.] and {.} denotes greatest integer and fractional part function respectively

The number of non differentiability of point of function f (x) = min ([x] , {x}, |x - (3)/(2)|) for x in (0,2), where [.] and {.} denote greatest integer function and fractional part function respectively.

If f(x)=(tanx)/(x) , then find lim_(xto0)([f(x)]+x^(2))^((1)/([f(x)])) , where [.] and {.} denotes greatest integer and fractional part function respectively.

Number of solutions of the equation 2x]-3{2x}=1 (where [.1] and {.} denotes greatest integer and fractional part function respectively

The number of integers in the range of the function f(x)=(x-[x])/(1+{x}) x(where [.] and {.} denote the integral part and fractional part functions respectively is

Let f(x) = log _({x}) [x] g (x) =log _({x})-{x} h (x) log _({x}) {x} where [], {} denotes the greatest integer function and fractional part function respectively. Domine of h (x) is :

If f(x)={{:([x]+sqrt({x})",", xlt1),((1)/([x]+{x}^(2))",",xge1):} , then [where [.] and {.} represent the greatest integer and fractional part functions respectively]