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

If f(x) = sqrt(1-sqrt1-x^2 , then at x = 0

Let f(x)=(sqrt(x-2 sqrt(x-1)))/(sqrt(x-1)-1) , then -

Let R be the set of real numbers. If f:R->R is a function defined by f(x)=x^2, then f is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) non of these

Let f:R rarr R defined by f(x)= x^2/(1+x^2) . Prove that f is neither injective nor surjective.

Let S be the set of all triangles and R^+ be the set of positive real numbers. Then the function f: SrarrR^+,f(Delta)=area of Delta ,where Delta in S , is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

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

If f:[0,oo]toR is the function defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(x^2)+e^(-x^2)), then check whether f(x) is injective or not.

The function f: NvecN(N is the set of natural numbers) defined by f(n)=2n+3i s (a) surjective only (b) injective only (c) bijective (d) none of these

If f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x) then f(x) (a)increase in (0,oo) (b)decrease in [0,oo] (c)neither increases nor decreases in [0,oo] (d)increase in (-oo,oo)