Point that lies on an invertible function

The video tutorial discusses how to find the inverse of a point on an invertible function's graph. It begins by introducing the problem and explaining the concept of invertible functions, focusing on their symmetry about the line Y = X. The tutorial then demonstrates how to reflect a point across this line and eliminate incorrect multiple-choice answers. Finally, it covers the algebraic method of finding inverse points by switching the X and Y coordinates, concluding that the inverse point of (3, 4) is (4, 3).

Why is it important to consider the quadrant when reflecting points across the line of symmetry?

If the point (3, 4) lies on the graph of an invertible function, what point lies on the graph of its inverse?