If the function `f: RvecA` given by `f(x)=(x^2)/(x^2+1)` is surjection, then find `Adot`

If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)) , is surjective, then A is equal to (A) R-{-1} (B) [0,oo) (C) R-[-1,0) (D) R-(-1,0)

If the function f: Rsetminus {0}vec given by f(x)=1/x-2/(e^(2x)-1) is continuous at x=0, then find the value of f(0)

If f: RvecR is given by f(x)=(x^2-4)/(x^2+1) , identify the type of function.

For what values of a the function f given by f(x) = x^(2) + ax + 1 is increasing on [1, 2]?

Find the derivative of the functions given by f(x)= (1+x)(1+x^(2))(1+x^(4))(1+x^(8)) and hence find f'(1).

Show that f: RvecR defined by f(x)=(x-1)(x-2)(x-3) is surjective but not injective.

Find the derivative of the function given by f(x)= sin (x^2) .

Discuss the continuity of the function f given by f(x)= x^(3)+x^(2)-1 .

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing

Find the intervals in which the function f given by f(x) = x^(2) – 4x + 6 is (a) increasing (b) decreasing