The domain of the function `f(x)=(sin^(-1)(3-x))/(I n(|x|-2))i s` `[2,4]` (b) `(2,3)uu(3,4]` (c) `(0,1)uu(1,oo)` (d) `(-oo,-3)uu(2,oo)`

The domain of the function f(x)=sqrt(log_((|x|-1))(x^2+4x+4)) is (a) (-3,-1)uu(1,2) (b) (-2,-1)uu(2,oo) (c) (-oo,-3)uu(-2,-1)uu(2,oo) (d)none of these

The domain of the function f(x)=1/(sqrt(|x|-x)) is: (1) (-oo,oo) (2) (0,oo (3) (-oo,""0) (4) (-oo,oo)"-"{0}

The domain of the following function is f(x)=(log)_2(-(log)_(1/2)(1+1/((x^(1/4)))-1) (a) (0,1) (b) (1,0) (1,oo) (d) (1,oo)

The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a) [-2,6] (b) [-6,2)uu(2,3) [-6,2] (d) [-2,2]uu(2,3)

The domain of f(x)="log"|logx|i s (a) (0,oo) (b) (1,oo) (c) (0,1)uu(1,oo) (d) (-oo,1)

The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo) (b) (1,(11)/7) (c) (1,7/3) (d) (1,7/5)

The domain of the function f(x)=sqrt(10-sqrt(x^4-21 x^2)) is [5,oo) b. [-sqrt(21),sqrt(21)] c. [-5,-sqrt(21)]uu[sqrt(21),5]uu{0] d. (-oo,-5)

The exhaustive domain of the following function is f(x)=sqrt(x^(12)-x^9+x^4-x+1) (a) [0,1] (b) [1,oo] [-oo,1] (d) R

The domain of f(x)=((log)_2(x+3))/(x^2+3x+2) is (a) R-{-1,2} (b) (-2,oo) (c) R-{-1,-2,-3} (d) (-3,oo)-(-1,-2}

IF the domain of the function f(x) =x^2 -6x +7 is (-oo , oo) then range of the function is