Math Analysis HL Unit 3 Video 20: Function Inverses via Investigation #3.3 (Chapter 2.4)

@IBMathwithGary In this video, Gary goes through the third part of Investigation 3.3 with a focus on function inverses. Inverse functions have several interpretations: (1) if f and g are inverses, then the (a, b) point on the graph of the f function is the (b, a) point on the graph of the g function. (2) if you want to find the inverse of f, swap the x and y variables and then solve for y; the resulting y is the inverse of f. (3) if f and g are inverses, then f(g(x))=g(f(x))=x. In other words, the g function "undoes" what the f function "does". (4) if f and g are inverses, then the graph of g is the graph of f reflected about the line y=x Ditch AI, get help from Gary!