Home
Class 12
MATHS
Let f:[-oo,0)->(1,oo) be defined as f(x)...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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 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(x)=sqrt(1+x^(2)) then

If f'(x) = sqrt(x) and f(1) = 2 then f(x) is :

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) none of these

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

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

Let f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 then f(1) is