Question

Find the inverse of f(x)=x/(x+1)

Answer 1

ok, solve for x and then flip the x's and y's

Answer 2

x=xy+y
when i flip them i get:
y=xy+x
did i do my algebra wrong or what?

Answer 3

youre on the right path, now factor out the x's

Answer 4

x(y+1)=y

Answer 5

wait, I just noticed something, you should have y=x-xy

Answer 6

so now, after you factor out you have y=x(1-y) and now divide (1-y) on both sides and you get \[\frac{ y }{ 1-y }=x \]

Answer 7

after that, simply switch the x and y's.

Answer 8

why should i have y=x-xy?

Answer 9

you start with