Find the domain of `f(x)=sqrt(([x]-1))+sqrt((4-[x]))` (where [ ] represents the greatest integer function).

Find the domain of f(x)=1/(sqrt(x-|x|))

Find the domain of f(x)=1/(sqrt(x+|x|))

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

Find the domain of f(x)=1/(sqrt(|[|x|-1]|-5))

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

Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^(2)).

Draw the graph of y=cos^(-1)sqrt(log_([x])(|x|/x)) where [*] represents the greastest integer function.

Find the domain of f(x)=sqrt((1-|x|)/(|x|-2))

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

Find the period of the following. (i) f(x)=(2^(x))/(2^([x])) , where [.] represents the greatest integer function. (ii) f(x)=e^(sinx) (iii) f(x)=sin^(-1)(sin 3x) (iv) f(x) =sqrt(sinx) (v) f(x)=tan((pi)/(2)[x]), where [.] represents greatest integer function.