Question

For the Transformation T, write the T-1.T : (x, y) (2x, y + 5) ;T -1 (x, y)----> (_____ x, ______y) NOTE: T-1 is the inverse of T1... help please.

Answer 1

\(T^{-1}\) is the map that sends \((2x,y+5)\) to \((x,y)\). Then
\(T^{-1}(x,y)=((1/2)x, -5+y)\)

Answer 2

Thank you... How did u get that though?

Answer 3

Think how to get \(x\) from \(2x\). We can divide by 2!
How to get \(y\) from \(y+5\)? We can subtract \\(5\
All this operation still gives us linear function. So that will do the job.

Answer 4

okay. thanks again....