# Isometry on metric

1. Dec 1, 2007

### jamiemmt

How do I prove every isometry from R->R is of the form f(x)=a+-x , regardless of the metric?

I know it has to do with considering d_1(0,x_1)=d_2(0, f(x_1)), but beyond that I am lost.

2. Dec 2, 2007

### HallsofIvy

Staff Emeritus
Start by writing out the definition of "isometry"!