Home
Class 12
MATHS
If A={-2,-1,0,1,2} and f:A to B is a sur...

If `A={-2,-1,0,1,2} and f:A to B` is a surjection defined by `f(x)=x^(2)+x+1` then find B.

Answer

Step by step text solution for If A={-2,-1,0,1,2} and f:A to B is a surjection defined by f(x)=x^(2)+x+1 then find B. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • IPE:MARCH-2019(TS)

    SRISIRI PUBLICATION|Exercise SECTION-C|6 Videos

  • IPE:MAY -2017[AP]

    SRISIRI PUBLICATION|Exercise SECTION-C (LAQs)|6 Videos

Similar Questions

Explore conceptually related problems

If A = {-2,-1,0,1,2}, and f : A to B is a surjection defined by f (x) = x ^(2) + x +1, hen find B.

If A={0,pi/6,pi/4,pi/3,pi/2} and f:Ato B is a surjection defined by f(x)=cosx then find B.

Knowledge Check

  • If A = (3, 81) and f: A rarr B is a surjection defined by f(x)=log_(3)x then B=

    A
    `[1, 4]`
    B
    `(1, 4]`
    C
    `(1, 4)`
    D
    `[1, oo)`

  • If f: R to R is defined by: f(x-1) =x^(2) + 3x+2 , then f(x-2) =

    A
    `x^(2)+x`
    B
    `x^(2)-3x+2`
    C
    `x^(2)+2x`
    D
    `x^(2)-x`

  • If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is

    A
    one-one and not onto
    B
    one-one and onto
    C
    not one-one but onto
    D
    neither one-one nor onto

    • Similar Questions

    Explore conceptually related problems

    If A = {1, 2, 3, 4} and f: A to R is a function defined by f(x) = (x^(2) -x+1)/(x+1) then find the range of f.

    If A={3, 0, 1, 2} and f:A rarr B is an onto function defined by f(x)=3x-5, then B=

    If A ={1,2,3,4} and f: A to R is a function defined by f (x) = (x ^(2) - x +1)/(x +1), then find the range of f.

    Let A = {-1,0,1,2},B= {-4,-2,0,2}and f , g , A to B be functions defined by f (x) =x ^(2) - x, x in A and g (x) =2 |x - (1)/(2) |-1, x in A Are f and g equal ? Justify your answer.

    A={-1,0, 1, 2}, B={2, 3, 6} . If f from A into B defined by f(x)=x^(2)+2 , then f is

    Home
    Profile