Find the inverse function of f(x) = (x + 1) / (x - 2).

✓ Correct Answer: Option A

Let y = (x+1)/(x-2). Swap x and y: x = (y+1)/(y-2). Multiply by (y-2): x(y-2) = y+1. Distribute: xy - 2x = y + 1. Get y terms on one side: xy - y = 2x + 1. Factor out y: y(x - 1) = 2x + 1. Solve for y: y = (2x + 1) / (x - 1).