Let `g(x) = tan^(-1)|x| - cot^(-1)|x|, f(x) = ([x])/([x+1]) {x}, h{x} =|g(f(x))|` then which of the following holds good? (where {*} denotes fractional part and {*} denotes the integral part)

Discuss the minima of f(x)={x}, where {,} denotes the fractional part of x

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

For the function f(x)={x}, where {.} denotes the fractional part of x,x=1 is a point of

Range of the function f(x)=({x})/(1+{x}) is (where "{*}" denotes fractional part function)

The domain of f(x)=log_(e)(1-{x}); (where {.} denotes fractional part of x ) is

lim_(x rarr[a])(e^(x)-{x}-1)/({x}^(2)) Where {x} denotes the fractional part of x and [x] denotes the integral part of a.

If f(x)and g (x) are two function such that f(x)= [x] +[-x] and g (x) ={x} AA x in R and h (x) = f (g(x), then which of the following is incorrect ? [.] denotes greatest integer function and {.} denotes fractional part function)

Let f(x) = {x} , For f (x) , x = 5 is (where {*} denotes the fractional part)

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