I'm having some difficulty on finding the inverse function for this problem.

I follow the first method of switching the 'x' and 'y' variables and then subtracting the from both sides, . Here's where my intuition breaks down. I know the objective is to solve for 'y'. Thus, multiply '0.2y' on both sides? .

Should I divide by ? That would give me

And then divide from both sides and I end up with

I've tried working some inputs and the function is definitely not the inverse function, so I know my math is wrong. If somebody could toss me a tip I would appreciate it.