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

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

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

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

Evaluate: int_0^(100)x-[x]dx where [dot] represents the greatest integer function).

The domain of the function f(x)=log_e {sgn(9-x^2)}+sqrt([x]^3-4[x]) (where [] represents the greatest integer function is

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

Draw the graph of |y|=[x] , where [.] represents the greatest integer function.