SOLUTION: Can you help me solve this? An explanation would be extremely helpful. Find the inverse function: f(x)=x/(3+x) , x≠-3

Algebra ->  Rational-functions -> SOLUTION: Can you help me solve this? An explanation would be extremely helpful. Find the inverse function: f(x)=x/(3+x) , x≠-3      Log On


   



Question 996736: Can you help me solve this? An explanation would be extremely helpful.
Find the inverse function:
f(x)=x/(3+x) , x≠-3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the inverse function:
f(x)=x/(3+x) , x≠-3
----
1st:: Interchange x and y to get:
x = y/(3+y)
----
2nd: Solve for "y"::
3x + xy = y
y-xy = 3x
y(1-x) = 3x
y = 3x/(1-x)
------
That is the inverse you are looking for.
Cheers,
Stan H.
------------