Finding the Inverses of Affine Transformations (on a line)

[Stefka]

How do I find the inverse of an affine transformation on a line?
How do I know if the inverse does not exist for a given transformation?

I need to find the following (writing answers as compositions of translations, dilations, and reflections):

1. T₃

2. D_4,0

3. F₀

4. T_-17

5. F₁

6. D_2,2

7. T₀

8. D_0,4

9. T4 o F₃

10. F₄ o D_2,3 o T₂ o T₂ o F₉ o D_1/3,1 o T_​-2

 

[Ishuda]

Have you read the 'read before posting'?
http://www.freemathhelp.com/forum/threads/41537-Read-Before-Posting!!