Find the inverse function of f(x) = (3x + 2) / (x - 1)?

✓ Correct Answer: Option A

Let y = f(x). Swap x and y: x = (3y + 2) / (y - 1). Solve for y: x(y - 1) = 3y + 2 => xy - x = 3y + 2 => xy - 3y = x + 2 => y(x - 3) = x + 2 => y = (x + 2) / (x - 3).