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## Homework Statement

f:ℝ→ℝ

x:→sqrt(x^2+1)-lxl

## Homework Equations

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

## 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?