The number of integers in the domain of function, satisfying `f(x)+f(x^(-1))=(x^3+1)/x ,i s` (a) empty set (b) singleton set (c) Finite Set (d) An infinite set

The domain set of the function f(x) = tan^(-1) x -cot ^(-1) x + cos ^(-1) ( 2-x) is

The set of points of discontinuity of the function f(x)=(1)/(log|x|),is

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

The set of points where the function f given by f(x) = |2x – 1| sin x is differentiable is

If the function f:R rarrA defined as f(x)=tan^(-1)((2x^(3))/(1+x^(6))) is a surjective function, then the set A is equal to

The set of points where the function f given by f(x) - |2x-1| sinx is differentiable is

Writhe the set of values of x satisfying |x-1|lt=3\ a n d\ |x-1|lt=1.

The set of number where the function f given by f(x)=|2x-1| cos x is differentiable is

Let f:A to B f (x) = (x +a)/(bx ^(2) + cx +2), where A represent domain set and B represent range set of function f (x) a,b,c inR, f (-1)=0 and y=1 is an asymptote of y =f (x) and y=g (x) is the inverse of f (x). Area of region enclosed by asymptotes of curves y =f (x) and y=g (x) is:

The domain of the function f(x)=""^(16-x)C_(2x-1+^(20-3x)P_(4x-5) , where the symbols have their usual meanings, is the set