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Polynomial Function.

  1. Nov 1, 2011 #1
    1. The problem statement, all variables and given/known data

    f:ℝ→ℝ
    x:→sqrt(x^2+1)-lxl

    2. Relevant equations

    calculate f^-1(]0,1])

    3. The attempt at a solution

    well i chose a y from ]0,1] and tried to find an x that solves the problem like the following.

    0<sqrt(x^2+1)-lxl≤1

    at the end i got the following: 0<lxl≤1/2 is my work correct?
     
  2. jcsd
  3. Nov 1, 2011 #2

    micromass

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    No it is not correct. What is your work??
     
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