For relation `2logy-logx-"log"(y-1)` a. Domain `=[4,+oo)`,range-`(1,+oo)` b. Domain `=[4,+oo),` range- `(2,+oo)` c. Domain `=(2,+oo)` ,range-`(2,+oo)` d. None of these

Let f(x)=sqrt(|x|-{x})(w h e r e{dot} denotes the fractional part of (x)a n dX , Y are its domain and range, respectively). Then (a) X in (-oo,1/2) and Y in (1/2,oo) (b)X in (-oo in ,1/2)uu[0,oo)a n dY in (1/2,oo) (c)X in (-oo,-1/2)uu[0,oo)a n dY in [0,oo) (d) none of these

For the function f(x)=log_(10)(3x^(2)-4x+5) (A) domain is (0,oo) (B) range is R (C) domain is R (D) range is [log_(10)((11)/(3)),oo)

The domain of the function f(x)=sqrt(x-1)+sqrt(6-x) is (a) [1,oo)(c)[1,6](b)(-oo,6)(d) None of these

The domain of cosh^(-1)5x is (1)R(2)[0,oo) (3) ((1)/(5),oo) (4) [(1)/(5),oo)

Range of vlaues of f(x) is (A) (-oo, 3/4] (B) [ 3/4, oo) (C) [ 1/3, 3] (D) none of these

The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3,oo) b. (-1,2)uu[3,oo) c. [-1,2]uu[3,oo) d. none of these

The domain of the function f(x)=((x+1)(x-3))/(x-2) is [-1,2)uu[3,oo) b. (-oo,-3)uu(2,5) c. (-oo,-3]uu[2,5] d. none of these

If ln^(2)x+3ln x-4 is non negative,then x must lie in the interval: [e,oo) b.(-oo,e^(-4))uu[e,oo) c.(1/e,oo) d.none of these