What is the inverse of f(x)= 2-x/5x?

Let y = (2 - x) / (5x)

5xy = 2 - x

5xy + x = 2

x(5y + 1) = 2

x = 2 / (5y + 1)

The inverse function is 2 / (5x + 1)

y=(2-x)/5x
5xy=2-x
x+5xy=2
x(1+5y)=2
x=2/(1+5y)