If `f(x)=|x-1|-[x]`, where `[x]` is the greatest integer less than or equal to x, then

If f(x)=|x-1|-[x] (where [x] is greatest integer less than or equal to x ) then.

Let f(x) be defined by f(x)=x-[x],0!=x in R, where [x] is the greatest integer less than or equal to x then the number of solutions of f(x)+f((1)/(x))=1

If the function f:R rarr R be such that f(x)=x-[x], where [x] denotes the greatest integer less than or equal to x, then f^(-1)(x) is

Let f(x)=max. {x+|x|,x-[x]} , where [x] denotes the greatest integer less than or equal to x, then int_(-2)^(2) f(x) is equal to

Let f(x)=[2x^3-6] , where [x] is the greatest integer less than or equal to x. Then the number of points in (1,2) where f is discontinuous is

Let R be the set of real number and f:R to R be defined by f(x)=({x})/(1+[x]^(2)) , where [x] is the greatest integer less than or equal to x, and {x}=x-[x]. Which of the following statement are true? I. The range of f is a closed interval II. f is continuous on R. III. f is one - one on R.

Let f(x)=(x)/(1+x^(2)) and g(x)=(e^(-x))/(1+[x]) where [x] is the greatest integer less than or equal to x. Then

If [x]^(2)=[x+6] , where [x]= the greatest integer less than or equal to x, then x must be such that