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Bijective function

  1. Sep 7, 2011 #1
    Hi, i have this function [itex]f : x \in Q \rightarrow (5x-7)/6 [/itex]
    the function is bijective now i need to calculate:
    i get :
    [itex]f(0)=-7/6[/itex], [itex]f(1)=-1/3[/itex], [itex]f(2)=1/2[/itex], [itex]f(3)=4/3[/itex], etc...
    I need to generalize the set that include the image of [itex]f(N0)[/itex],
    but i don't know what could be.
  2. jcsd
  3. Sep 8, 2011 #2


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    Let's not simplify the fraction. Then the denominator will always be 6. What can the numerator be?
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