Question

Find the inverse of y=4-x/x​

Answer 1

Well if you do -4 on both sides you should get your answer, and you can do x on both sides but divide the number you get for y

Answer 2

Answer:

$f^{-1} (x)$=$\frac{4}{1+x}$

Step-by-step explanation:

The first step is to switch y for x and x for y so the equation will look like

x=$\frac{4-y}{y}$

the next thing you do is isolate y so you have to multiply y to both sides to get

$xy=4-y$ now you got to add y to both sides which would get you

xy+y=4

since xy and y share a y value you have to try and factor out y which would get you

y(x+1)=4

the final step is to divide x+1 on both sides

y$\frac{(x+1)}{x+1}$=$\frac{4}{x+1}$

which since x+1 and x+1 crosses each other out we are left with

y=$\frac{4}{1+x}$