SOLUTION: Inverse of g(x) = x/(2x+4)

Algebra ->  Inverses -> SOLUTION: Inverse of g(x) = x/(2x+4)      Log On


   

Question 1055253: Inverse of g(x) = x/(2x+4)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%2F%282x%2B4%29
Interchange x and y and solve for y.
That y is the inverse of the original function.
x=y%2F%282y%2B4%29
%282y%2B4%29x=y
2xy%2B4x=y
2xy-y=-4x
%282x-1%29y=-4x
y=%284x%29%2F%281-2x%29
g%5E%28-1%29%28x%29=%284x%29%2F%281-2x%29
.
.
.
.