Let `f:Rrarr[1,oo)` be defined as `f(x)=log_(10)(sqrt(3x^(2)-4x+k+1)+10).` If `f(x)` is surjective, then

Let f:R->[1,oo) be defined as f(x)=log_10(sqrt(3x^2-4x+k+1)+10) If f(x) is surjective then k =

Let f:[-oo,0)->(1,oo) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) then f(x) is (A) injective but not surjective (B) injective as well as surjective (C) neither injective nor surjective (D) surjective nut not injective

Let f:[-oo,0]->[1,oo) be defined as f(x) = (1+sqrt(-x))-(sqrt(-x) -x) , then

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 f(x)=sin log((sqrt(4-x^(2)))/(1-x)) , then the domain of f(x) is ….

The function f (x) = log (x + sqrt(x^2 +1)) is

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

Let A={x:xepsilonR-{1}}f is defined from ArarrR as f(x)=(2x)/(x-1) then f(x) is (a) Surjective but nor injective (b) injective but nor surjective (c) neither injective surjective (d) injective

Let g: Rrarr(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . Then find the possible values of k for which g is a surjective function.