How come the function and the inverse of the function are the same? What is the inverse of the function:
$$f(x)=\frac{x+2}{5x-1}$$
?
Answer:
$$f^{-1}(x)=\frac{x+2}{5x-1}$$
Can one of you explain how the inverse is the same exact thing as the original equation?

Let $y=\frac{x+2}{5x-1}$. Then $5xy-y=x+2$, so $x(5y-1)=5xy-x=2+y$, so $x=\frac{2+y}{5y-1}$.
