Each of these transformations of P3 is one-to-one. For each, find the inverse. (a) a0 + a1x

Question:

Each of these transformations of P3 is one-to-one. For each, find the inverse.
(a) a0 + a1x + a2x2 + a3x3 → a0 + a1x + 2a2x2 + 3a3x3
(b) a0 + a1x + a2x2 + a3x3 → a0 + a2x + a1x2 + a3x3
(c) a0 + a1x + a2x2 + a3x3 → a1 + a2x + a3x2 + a0x3
(d) a0 + a1x + a2x2 + a3x3 → a0 + (a0 + a1)x + (a0 + a1 + a2)x2 + (a0 + a1 + a2 + a3)x3