Inverse Functions

Two function are inverse functions if applying a composite function produces the original domain set of x of the first interior function. If functions f(x) and g(x) are inverse functions then f(g(x)) = x and g(f(x)) = x. To satisfy this condition the functions must have matching range and domain sets. If all this is true then the two functions are inverse functions. To create an inverse of a function y = f(x) switch the x variable for the y variable and then solve for y. The new y = g(x) is the inverse function. When mapped two inverse functions produce results that are symmetrical around the line y = x on the Cartesian Plane.