To find the inverse of a function, switch x and y and solve for y. In this case y=0.6(x/5+1.3) turns into x=0.6(y/5+1.3).
x/0.6=y/5+1.3 (I divided both sides by 0.6)
x/0.6-1.3=y/5 (I subtracted 1.3 from both sides)
5(x/0.6-1.3)=y (I multiplied both sides by 5)
This is your inverse function