Best math lecture I've ever seen. The connection between inverse functions is something I've intuitively understood, but putting it into words and explaining the essence of it really embeds a deep conceptual understanding in the mind, especially in that it relates to addition/subtraction, exponents/logarithms, multiplication/division, etc. What a treasure Mr. Woo's lectures are.
Well sir your solving and explanation is amazing but it would be more beautiful if you show the use of inverse function in real life situations otherwise techniques of solving will not give the result which is the beauty of mathematics. I mean interpretation.
Inverse functions, when graphed, reflect a relation across the diagonal line y = x. The domain and range are swapped; however, this only holds true for 1:1 functions (one y value for every x value, one x value for every y value). Any relation that is diagonally symmetrical, such as the unit circle, is identical to its inverse.
