If f(x)={x}+{2x}` and g(x)=[x]. The number of solutions of f(x)=g(x), where {.} and [x] are respectively the fractional part and greatest functions, is

The number of solutions of 4{x}=x+ [x] where [.] denotes G.I.F and {.} represents fractional part function is equal to

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

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=(x^(2)-2x+4)/(x^(2)+2x+4)

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=(x^(2)-2x+4)/(x^(2)+2x+4)

If (x)=[x],0<={x}<0.5 and f(x)=[x]+1,0.5<{x}<1 then prove that f(x)=-f(-x) (wherel.] and {.} represent the greatest integer function and the fractional part function, respectively).

Number of solution of equation [x]^2=x+2{x} is/are , where [.] and {.} denote the greatest integer and the fractional part functions, respectively

If int (cosec ^(2)x-2010)/(cos ^(2010)x)dx = =(f (x))/((g (x ))^(2010))+C, where f ((pi)/(4))=1, then the number of solution of the equation (f(x))/(g (x))={x} in [0,2pi] is/are: (where {.} represents fractional part function)

If int (cosec ^(2)x-2010)/(cos ^(2010)x)dx = =(f (x))/((g (x ))^(2010))+C, where f ((pi)/(4))=1, then the number of solution of the equation (f(x))/(g (x))={x} in [0,2pi] is/are: (where {.} represents fractional part function)

In which of the following function, range is not singleton set f(x)=[x]+[-x] (b) f(x)={x}+{-x} f(x)=|sgn(x)| (d) f(x)=[sqrt(x-[x]) where [x],{x},a n dsgn(x) are greatest integer function, fractional part function and signum function respectively.

In which of the following function,range is not singleton set f(x)=[x]+[-x]( b) f(x)={x}+{-x}f(x)=|sgn(x)|(d)f(x)=[sqrt(x-[x]) where [x],{x}, and sgn(x) are greatest integer function,fractional part function and signum function respectively.