The range of `(x^2-2 x+3)/(x^2-2 x-8)AA x in R` is `(i)(-infty , 0] cup [1, infty) (ii) [1/2,2] (iii) (-infty,-2/9]cup[1,infty) (iv) (infty,-6]cup ([-2, infty)`

The set of all x satisfying the inequality (4x-1)/(3x+1) ge 1 is : a) (-infty, -1/3) cup [1/4, infty) b) (-infty, -2/3) cup [5/4, infty) c) (-infty, -1/3) cup [2, infty) d) (-infty, -2/3] cup [4, infty)

Find the domain of the following y = tan^(-1) ( sqrt (x^(2) - 1)) a. (-infty,-2]cup[1, infty) b. (-infty,-1] c. (-infty,-1]cup[2, infty) d. (-infty,-1]cup[1, infty)

The range of the function f(x)=(x^2-x+1)/(x^2+x+1) where x , in R is a) (-infty, 3] b) (-infty, infty) c) [3, infty) d) [1/3,3]

Find the range of f(x)= (x^2 + x +2)/(x^2 + x +1) (-infty lt x lt infty)

If the point (1, a) lies in between the lines x + y =1 and 2(x+y) = 3 then a lies in (i) (-infty,0)cup (1,infty) (ii) (0,1/2) (iii) (-infty,0)cup (1/2,infty) (iv) none of these

The value of x for which the function given by f(x)=2x^3-3x^2-12x+12 is increasing lies in: a) (-infty,-1)cup(2,infty) b) (-infty,-4)cup(2,infty) c) (-infty,0)cup(2,infty) d) (-infty,-2)cup(2,infty)

The domain of f(x)=log_x 12 is (i) (0,infty) (ii ) (0,1)cup (1,infty) (iii) (-infty,0) (iv) (2,12)

The exhaustive values of x for which f(x) = tan^-1 x - x is decreasing is (i) (1,infty) (ii) (-1,infty) (iii) (-infty,infty) (iv) (0,infty)

The function f(x)= [x(x-2)]^2 is increasing in the set a) (-infty,0) cup (2,infty) b) (-infty,1) c) (0,1)cup(2,infty) d) ( 1 , 2 )

The function f(x)=1/(1+x^2) is decreasing in the interval (i) (-infty,-1) (ii) (-infty,0) (iii) (1,infty) (iv) (0,infty)