finding inverse equation, please.?

Question

equation:
f(x) = (3x) / (x-1)

i know i have to switch the "x" and "y", therefore giving me:

x = (3y) / (y-1)

now i'm stuck. do i cross multiply then factor? thanks for the help.

Answer 1

Now that you have the variables switched, you're supposed to solve for 'y' (where you have an equation that reads y=...), and that should give you the inverse of the original equation

Answer 2

f(x) = (3x) / (x-1)
y=3x/(x-1) multiply by x-1
y(x-1)=3x distribute y
xy-y=3x subtract xy
-y=3x-xy associate x
-y=x(3-y) divide by 3-y
x=-(3-y)=y/(y-3)