Register to reply 
Define set from given function and a subset. Abstract math 
Share this thread: 
#1
Apr312, 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. 


#2
Apr512, 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.



#3
Apr512, 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 