Determine the inverse of the function f(x)= (x+3)/(x-5)

Someone please show the steps...
This is my last assignment then finished math 11 for good with a B grade!
Thanks,
will vote best answer shortly

f(x)= (x+3)/(x-5)

y=(x+3)/(x-5)

x=(y+3)/(y-5)
x(y-5)=y+3
xy-5x=y+3
y-xy=-5x-3
y(1-x)= -(5x+3)
y=-(5x+3)/(1-x), the inverse.