Inverse of a function

  • Thread starter Squeezebox
  • Start date
  • #1
57
0
1. The problem

Find the inverse of F(x)= x/(x+1)


The Attempt at a Solution



I have no idea where to begin. Everything I have tried has just taken me back to the original equation.
 

Answers and Replies

  • #2
Defennder
Homework Helper
2,591
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There is a technique for finding an inverse of a function f(x), if it exists. Let y = f(x). Express x in terms of y to get x = g(y). Replace y with x and there's your inverse function.
 
  • #3
statdad
Homework Helper
1,495
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This is similar to, but slightly more direct than, the method in the previous post.

Start with your function.

[tex]
y = \frac x {x+1}
[/tex]

Interchange the variables.

[tex]
x = \frac y {y+1}
[/tex]

Solve the second equation for [tex] y [/tex] in terms of [tex] x [/tex] - the result is the inverse function.
 

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