Question

A linear function and its inverse are given below.

y = 2x – 2 y=1/2x +1
Which tables could be used to verify that the functions are inverses of each other? Check all that apply.

table A
table B
table C
table D
table E

Answer 1

I can’t see the tables A–E. Could you paste or upload the tables (the x → y pairs) so I can check them?

How to check yourself quickly:
- The inverse of f(x) = 2x − 2 is f⁻¹(x) = (x + 2)/2 = 1/2 x + 1 (which matches the given).
- For a table pair (a, b) for f, the inverse’s table must contain the swapped pair (b, a).
- So if a table pair for f includes (0, −2), (2, 2), (3, 4), then the inverse’s table must include (−2, 0), (2, 2), (4, 3).
- Alternatively test composition: applying one function then the other should return the original input.

If you paste the five tables I’ll mark which ones verify the inverse relationship.