Home
Class 12
MATHS
Let ZZ be the set of integers and the ma...

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

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2 C ( Vary short answer quations)|8 Videos

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2 C ( short answer quations)|8 Videos

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2 B ( short answer type questions )|9 Videos

  • LOGARITHM

    CHHAYA PUBLICATION|Exercise Long Answer Type Question|12 Videos

  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos

Similar Questions

Explore conceptually related problems

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) ?

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} ?

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 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?

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 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)

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 ___

Let RR be the set of real numbers and the mapping f: RR rarr RR and g: RR rarr RR be defined by f(x)=5-x^(2) and g(x) =3x -4 , state which of the following is the value of (f o g) (-1) ?

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)