Register to reply

Define set from given function and a subset. Abstract math

by beatka6
Tags: abstract, define, function, math, subset
Share this thread:
Apr3-12, 04:16 PM
P: 21
1. The problem statement, all variables and given/known data
Let f: Z to ZxZ be the function defined f(t)=(3t, 3t+1) . Let B denote the subset of ZxZ defined by B={ (5m, 5m+1) : m is an element of Z}. Determine f^-1(B). This means that you should define set S with a property of S=f^-1(B). In addition, your definition of S should make no mention of the function f.

2. Relevant equations

3. The attempt at a solution
From what I understand first we have to find f(B), but B is a subset of ZxZ not Z therefore I don't know what to do with this. Please help.
Phys.Org News Partner Science news on
Climate change increases risk of crop slowdown in next 20 years
Researcher part of team studying ways to better predict intensity of hurricanes
New molecule puts scientists a step closer to understanding hydrogen storage
Apr5-12, 07:36 PM
P: 312
f^{-1}(B) is defined as {t[itex]\in[/itex]Z | f(t)[itex]\in[/itex]B}, i.e., the collection of t's such that f(t) is in B.
Apr5-12, 10:24 PM
P: 1
It says that it should have no mention of f in the defined set.

Register to reply

Related Discussions
How to define this function Precalculus Mathematics Homework 2
Define z as a function of x and y Calculus & Beyond Homework 3
How to define the derivative of a function as a new function in Maxima Math & Science Software 4
Abstract Algebra: define an operation Calculus & Beyond Homework 3
[Discrete Math] Relations, (R subset S) / (R Intersects S) Calculus & Beyond Homework 4