Find the value of `x` for which following expressions are defined: `1/(sqrt(x-|x|))` (ii) `1/(sqrt(x+|x|))`

Find the value of x for which the following expression are defined (i) sin^(-1) (3x -2) (ii) cos^(-1) (log_(e) x) (iii) sec^(-1) (x^(2) -2)

Find the values of x for which the following function is defined: f(x)=sqrt((1)/(|x-2|-(x-2)))

Find the values of x for which the follwing function is defined: f(x)=sqrt(1)/(|x-2|-(x-2))

Find the values of x for which f(x) = sqrt(sin x - cos x) is defined.

Find the domain of each of the following functions given by f(x)=(1)/(sqrt(x-|x|)) (ii) f(x)=(1)/(sqrt(x+|x|)) (iii) f(x)=(1)/(sqrt(x-[x]))( iv )f(x)=(1)/(sqrt(x+[x]))

Find the values of x of for which sqrt(5-|2x-3|) is defined

Find the values of x for which expression sqrt(1-sqrt(1-sqrt(1-x^(2)))) is meaningful.

Find all the possible the value of the following expression.sqrt(x^(2)-4)( ii) sqrt(9-x^(2))( (iii) sqrt(x^(2)-2x+10)

Find the value of x for which f(x)=sqrt(sin x-cos x) is defined,x in[0,2 pi)

Find all possible values of the following expressions : (i) sqrt(x^(2)-4) (ii) sqrt(9-x^(2)) (iii) sqrt(x^(2)-2x+10)