The range of `f(x) = sin^(-1) x + sqrt(x)` is (i) R (ii)`(0,infty)` (iii)`(0,1)` (iv) none of these

Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

Let f^(prime)(x)>0 AA x in R and g(x)=f(2-x)+f(4+x). Then g(x) is increasing in (i) (-infty,-1) (ii) (-infty,0) (iii) (-1,infty) (iv) none of these

The solution set of the inequation ||x|-1| < | 1 – x|, x in RR, is (i)(-1,1) (ii)(0,infty) (iii)(-1,infty) (iv) none of these

The set of numbers when the function f(x)=(1)/(log|x|) is discontinuous is (i) {0} (ii) (1,-1) (iii) {0,1,-1} (iv) none of these

The solution set of the inequation ||x|-1| < | 1 – x|, x in RR, is (i) (-1,1) (ii) (0,infty) (iii) (-1,infty) (iv) none of these

Write down the domain of : (i) f(x) = sin^(-1) x (ii) f(x) = cos^(-1)x (iii) f(x) = tan^(-1)x (iv) f(x) = sec^(-1) x

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