Home
Class 11
MATHS
Let f be the subset of Z xxZdefined by f...

Let f be the subset of `Z xxZ`defined by `f = {(a b , a + b) : a , b in Z}`. Is f a function from Z to Z? Justify your answer.

Text Solution

Verified by Experts

The correct Answer is:
Is is not a function
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2D|18 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2E|5 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2B|14 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|32 Videos

Similar Questions

Explore conceptually related problems

Let R be the relation on Z defined by R = {(a , b): a , b in Z , a b is an integer}.Find the domain and range of R.

Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is an integer }dot Find the domain and range of Rdot

Check the commutativity of * on Z defined by a*b=a+b+a b for all a ,\ b in Z .

Let f = {(1, 2), (2, 3), (0, 1), ( -1, 0)} be a linear function from Z into Z. Find f(x).

Let R be the relation on Z defined by R={(a , b): a , b belongs to Z , a-b is an integer }dot Find the domain and range of Rdot

Show that the function f: ZvecZ defined by f(x)=x^2+x for all x in Z , is a many one function.

Determine whether O on Z defined by a\ O\ b=a^b for all a ,\ b in Z define a binary operation on the given set or not:

Show that the function f: Z->Z defined by f(x)=x^2 for all x in Z , is a function but not bijective function.

Let f be a function from R to R such that f(x)=cos(x+2) . Is f invertible? Justify your answer.

Let A = R - {3} and B = R - {1} . Consider the function f: A->B defined by (x)=((x-2)/(x-3)) . Is f one-one and onto? Justify your answer.

Home
Profile