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Find the inverse function

  • Thread starter Skizye
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  • #1
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Homework Statement


If [tex]F(x) = \frac{x}{x + 1}[/tex], then the inverse function, [tex]f^{-1}[/tex], is given by [tex]f^{-1}(x) = [/tex]


Homework Equations





The Attempt at a Solution


I've replaced F(x) with y, and switched the x and y variables. Where I'm having a problem is solving the resulting equation, here's what I've done so far.

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

[tex]xy + x = y[/tex],

[tex]x(y + 1) = y[/tex],

but as far as I can tell that just takes me back to where I started.

Also, I believe this is a question from an old AP Calculus exam. It's technically homework from a calculus class but seems to primarily involve algebra. Did I put it in the right forum or should it have gone in the precalculus forum? Thanks!
 

Answers and Replies

  • #2
statdad
Homework Helper
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Go back to [itex] xy + x = y [/itex], gather the [itex] y [/itex] values together, then solve.
 
  • #3
22,097
3,278
When you reach the equation xy+x=y. Try to solve for y... That is, separate the y from the x...
 

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