Home
Class 12
MATHS
Which of the following function is surje...

Which of the following function is surjective but not injective.
(a) `f:R->R ,f(x)=x^4+2x^3-x^2+1`
(b) `f:R->R ,f(x)=x^2+x+1`
(c) `f:R->R^+ ,f(x)=sqrt(x^2+1)`
(d) `f:R->R ,f(x)=x^3+2x^2-x+1`

A

`f:R rarr R, f(x)=x^(4)+2x^(3)-x^(2)+1`

B

`f:R rarr R, f(x)=x^(3)+x+1`

C

`f:R rarr R^(+), f(x)=sqrt(1+x^(2))`

D

`f:R rarr R, f(x)=x^(3)+2x^(2)-x+1`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|22 Videos

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 12|4 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

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

f:R to R" given by "f(x)=x+sqrt(x^(2)) ,is

If f :R ->R , f(x)=x^3 +3 ,and g:R->R , g(x)=2x + 1 , then f^(-1)(g^(-1)(23)) equals

The function f:R to R given by f(x)=x^(2)+x is

Discuss the surjectivity of f: R->R given by f(x)=x^3+2 for all x in R

Discuss the surjectivity of f: R->R given by f(x)=x^2+2 for all x in R

The function f:R rarr R, f(x)=x^(2) is

If f : R to R , f(x)=x^(2) and g(x)=2x+1 , then

f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=

consider the function f:R rarr R,f(x)=(x^(2)-6x+4)/(x^(2)+2x+4) f(x) is

Home
Profile