Hey wuzimu69.

Given y = 2/(x+3) to find the inverse we swap x and y and solve for our new y which gives:

x = 2/(y+3)

y + 3 = 2/x which means

y = 2/x - 3

Assume that the answer from the book is true. Then swap x and y to get the original function leaves us with:

x = 2(y+1)^(-1)

1/x = 1/2 * (y+1)

1/x = 1/2*y + 1/2

1/x - 1/2 = 1/2*y

y = 2/x - 1 and grouping together gives us:

y = (2-x)/x which is not our original function.

In short: you are right and they are wrong.