A function and an inverse function must be symmetrical about y = X. F(x) and F- 1 (x), just as you say that Y = sinx and siny = X are also symmetrical according to y = x, so you don't believe that you are doing it with mathematical software. The top is y = sinx, and the bottom is y = arcsinx. Are these two symmetrical? I feel that the concept is wrong. If you put X and Y on the same picture, can Y be equal to X? (In short, be careful not to think of X as Y, there is a difference, especially when drawing!