Home
Class 12
MATHS
Let Z be the set of integers and the map...

Let Z be the set of integers and the mapping `f:Z rarr Z` be defined by, `f(x):x^2`. State which of the following is equal to `f^(-1)(-4)`?

A

{2}

B

{-2}

C

{2,-1}

D

`phi`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Let ZZ be the set of integers and f:ZZ rarr ZZ be defined by , f(x)=x^(2) . Find f^(-1) (16) and f^(-1) (-4)

If P = {-2,-1, 0, 1, 2}, Q = {-6,-5,-3, 0, 3} and the mapping f : PrarrQ is defined by f(x)= 2x^2 + x -6 , state which of the following is the image of (-2)?

Knowledge Check

  • Let ZZ be the set of integers and the mapping f: ZZ rarr ZZ be defined by, f(x)=x^(2) . State which of the following is equal to f^(-1) (4) ?

    A
    2
    B
    -2
    C
    -2i
    D
    2i

  • Let, ZZ be the set of integers and the mapping f:ZZ to ZZ be given by f(x) = 2x-1, state which of the following sets is equal to the set {x:f(x) =3} ?

    A
    {3}
    B
    {2}
    C
    {0}
    D
    {-1}

  • Let A={0,1,2,3,4} and ZZ be the set of integers. If the mapping f:Ato ZZ be defined by f(x) =x^2-5x+2 , state which of the following is the pre-image of 2?

    A
    5
    B
    there is no pre-image of 2
    C
    1 and 4
    D
    0

    • Similar Questions

    Explore conceptually related problems

    Let RR be the set of real numbers and f: RR rarr RR be defined by , f(x) =x^(3) +1 , find f^(-1)(x)

    Let ZZ be the set of integers and f : Zzto ZZ be defined by, f(x) =2x^(2) -3x +6. Then which of the following set is equal to the set {x:f(x)=8} ?

    Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

    Let A={a,b,c,d} and f: A rarr A be defined by, f(a)=d, f(b)=a, f(c)=b and f(d)=c . State which of the following is equal to f^(-1)(b) ?

    The mapping f:ZZ rarr ZZ defined by , f(x)=3x-2 , for all x in ZZ , then f will be ___

    Home
    Profile