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 expression sqrt(1-sqrt(1-sqrt(1-x^(2)))) is meaningful.

Find the value of x for which function are identical. f(x)=cosxa n dg(x)=1/(sqrt(1+tan^2x))

Find the value of x for which function are identical. f(x)=cosxa n dg(x)=1/(sqrt(1+tan^2x))

Find the value of x for which function are identical. f(x)=(sqrt(9-x^2))/(sqrt(x-2))a n dg(x)=sqrt((9-x^2)/(x-2))

Find all the possible the value of the following expression dot 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(sinx-cosx) is defined, x in [0,2pi)dot

Find the integrals of the following : 1/(sqrt((2+x)^2-1)) (ii) 1/(sqrt(x^2-4x+5)) (iii) 1/sqrt(9+8x-x^2)

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.