If `f(x)=|x-1|.([x]=[-x]),` then (where [.] represents greatest integer function)

If f(x) = (e^([x] + |x|) -3)/([x] + |x|+ 1) , then: (where [.] represents greatest integer function)

If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)

Find the domain and range of f(x)="sin"^(-1)(x-[x]), where [.] represents the greatest integer function.

Consider the function f(x)=cos^(-1)([2^(x)])+sin^(-1)([2^(x)]-1) , then (where [.] represents the greatest integer part function)

Find the range of f(x)=(x-[x])/(1-[x]+x'), where [] represents the greatest integer function.

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

Discuss the differentiability of f(x)=[x]+|1-x|,x in(-1,3), where [.] represents greatest integer function.

If f(x)=[2x+1]+[2-2x]+{x}+{-x} where [.] represents greatest integer function and {.} represents fractional function then (1) f(x) is a periodic functional with fundamental period =1 (2) f(x) has no fundamental period (3) Range of f(x) is {3,4} (4) Range of f(x) is {3}

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1], where [.] represents the greatest integer function