SOLUTION: Find the inverse function of f. 1. f(x)=1+3x/5-2x

Algebra ->  Linear-equations -> SOLUTION: Find the inverse function of f. 1. f(x)=1+3x/5-2x       Log On


   

Question 68624: Find the inverse function of f.
1. f(x)=1+3x/5-2x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the inverse function of f.
f(x)=(1+3x)/(5-2x)
Interchange x and y to get:
x=(1+3y)/(5-2y)
Solve for y as follows:
5x-2xy=1+3y
3y+2xy=5x-1
y(3+2x)=5x-1
y=(5x-1)/(2x+3)
This is the inverse function.
Cheers,
Stan H.