The inverse of a function intersects the function on $y=x$ line.
This is what I was taught. It works fine for $y=x^2, x^3$ ,
Eg $y = x^2$ meet $x= y^2$ at$ (1,1)$ but..
For a function like $ y =-x^3$ It seems to intersect at $ x+y = 0 , $ Why, is the first statement wrong. Also can it so happen , that an inverse of a function meets the function on a point other than on line $ y=±x $??