If `{*}` denotes the fractional part function, then the range of the function `f(x)=((1)/({x}))^({x}),` is

If [.] denotes the greatest integer function and {.} denotes the fractional part,then the domain of the function f(x)=sqrt((x-1)/(x-{x}))+ln(3-[x+[2x]]) is

If [1 denotes the greatest integer and {} denotes the fractional part,then the domain of the real valued function f(x)=(f(x))/(sqrt(1000x^(2)-999(x)^(3)-990(x)^(2)-50x+60)) is

If f(x)=1/(x^(2)+1) and g(x)=sinpix+8{x/2} where {.} denotes fractional part function then the find range of f(g(x))

If [x] denotes the greatest integer <=x, then Range of the function f(x)=[x^(2)+x+1] is

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

If f(x)={x}+sin ax (where {} denotes the fractional part function) is periodic,then

Statement - 1: The function f(x) = {x}, where {.} denotes the fractional part function is discontinuous a x = 1 Statement -2: lim_(x->1^+) f(x)!= lim_(x->1^+) f(x)

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 :

Let f(x)=2x-{(pi)/(n)} and g(x)=cos x where {.} denotes fractional part function, then period of gof (x) is -