Find the values of `x` for which the following functions are defined,. Also find all possible values which functions take. `f(x)=1/(x+1)` (ii) `f(x)=(x-2)/(x-3)` (iii) `f(x)=(2x)/(x-1)`

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

Find the value of x for which function are identical. f(x)=x and g(x)=1/(1//x)

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

Find the values of x for which the following functions are identical. (i) f(x)=x " and " g(x)=(1)/(1//x) (ii) f(x)=(sqrt(9-x^(2)))/(sqrt(x-2)) " and " g(x)=sqrt((9-x^(2))/(x-2))

Find for what values of x the following functions are maximum and minimum : f(x)=x^(2)(x-1)^(3)

Find the value of x for which function are identical. f(x)=cosx and g(x)=1/(sqrt(1+tan^2x))

Find the inverse of the following function: f(x)=log_e(x^2+3x+1), x in [1,3]

Find the values of x for which the function f(x) =x^(2)(x-2)^(2) will be an increasing function.

Find the values of x for which the following pair of functions are identical. (i) f(x)=tan^(-1)x+cot^(-1)x " and " g(x)=sin^(-1)x +cos^(-1)x (ii) f(x)=cos(cos^(-1)x) " and " g(x)=cos^(-1)(cosx)

Find the inverse of the function: f:[-1,1]rarr[-1,1] defined by f(x)=x|x|