Take y = 1+e x as an example: first find the range of the function, 1

Convert the function into a function whose x is y: y-y-1= e x, x = ln(y- 1).

Replace x with y, and get the inverse function y = ln(x- 1) with x, and its domain is 1

Most even functions have no inverse function (when function y=f(x) has a domain of {0} and f(x)=C (where c is a constant), then function f(x) has an inverse function, and its inverse function has a domain of {C} and a range of {0}). Odd function does not necessarily have an inverse function, nor does it necessarily have an inverse function when it is cut by a straight line perpendicular to the Y axis. If a odd function has an inverse function, its inverse function is also odd function.