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

if f(x) ={x^(2)} , where {x} denotes the fractional part of x , then

Period of f(x)=cos2pi{x} is , where {x} denote the fractional part of x)

If x in[2,3) ,then {x} equals, where {.} denotes fractional part function.

If f(x)={x+{x}+x sin{x}, for x!=00, for x=0 where {x} denotes the fractional part function,then

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

The domain of function f(x)=ln(ln((x)/({x}))) is (where { ) denotes the fractional part function)

The domain of the function f(x)=(1)/(sqrt({x}))-ln(x-2{x}) is (where {.} denotes the fractional part function)

If f(x) = {{:(x+{x}+x sin {x}",","for",x ne 0),(0",","for",x = 0):} , where {x} denotes the fractional part function, then

If f(x) = {{:(x+{x}+x sin {x}",","for",x ne 0),(0",","for",x = 0):} , where {x} denotes the fractional part function, then