SOLUTION: I need to find the inverse function to the following and am a bit overwhelmed. Is it possible to walk me through the best way to do it? I know the general steps for finding an inve

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I need to find the inverse function to the following and am a bit overwhelmed. Is it possible to walk me through the best way to do it? I know the general steps for finding an inve      Log On


   



Question 973077: I need to find the inverse function to the following and am a bit overwhelmed. Is it possible to walk me through the best way to do it? I know the general steps for finding an inverse function, but am having trouble solving for x in this case.
f%28x%29=%281e%5Ex-9%29%2F%2811e%5Ex%2B6%29

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the inverse function:
f%28x%29=%281e%5Ex-9%29%2F%2811e%5Ex%2B6%29
x=%28e%5Ey-9%29%2F%2811e%5Ey%2B6%29
%2811%28e%5Ey%29x%2B6x%29=e%5Ey-9%29
%2811%28e%5Ey%29x-e%5Ey%29=%28-9-6x%29
e^y(11x-1)=-9-6x
e^y=(-9-6x)/(11x-1)
ylne=ln(-9-6x)/ln(11x-1)
y=ln(-9-6x)/ln(11x-1)