Example Let T: [tex]P_1(R) --> R^2[/tex] be the linear transformation defined by T(a + bx) = (a, a+b). The reader can verify directly that T-1: [tex]R^2 --> P_1(R)[/tex] is defined by T-1(c, d) = c + (d-c)x. Observe that T-1 is also linear. I am reading my text and it kind of makes sense, but I have no clue how to verify what has been said above. It make sense to reverse everything, and because after the reversal since the inverse doesn't have the element c for the second element in the order pair for [tex]R^2[/tex] then we subtract it from the image of T-1? But I don't feel comfortable with the concept (of this reversal-and subtraction), and I don't know how to verify what has been said.