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## Homework Statement

I'm given a nonlinear model which I am trying to perform a linear regression on. I need to use change of variables in order to convert the nonlinear model into a linear one.

## Homework Equations

I am given [tex]f(x) = \frac{ax}{b+x}[/tex] where a and b are just parameters.

I need to use change of varibles to change this function into a form of [tex]F(x) = AX + B[/tex]

## The Attempt at a Solution

I have tried to take the reciprocal of both sides to get

[tex]\frac{1}{y} = \frac{b+x}{ax} = \frac{b}{ax} + \frac{1}{a}[/tex] , only problem with that is that the x is in the denominator. I have also tried using log transformation to both sides without success. Any help is appreciated thanks!