The function `f(x) =(x+1)/(x^3+1)` can be written as the sum of

The function f(x)=1-x^(3)

The function f(x)=x^(1/3)(x-1)

The function f(x)=x^(1//3)(x-1)

The function f(x)=(x^2-1)/(x^3-1) is not defined for x=1. The value of f(1) so that the function extended by this value is continuous is

Find the inverse of the function f(x) = In (x^2 + 3x + 1), x in [1, 3] and assuming it to be an onto function.

Show that the function f(x)=x^(3)+1/(x^(3)) is decreasing function in the interval [-1,1]-{0} .

If the function f(x)=sin^(-1)x+cos^(-1)x and g(x) are identical, then g(x) can be equal to