Linearilization of non-linear relationships (Linear Regression)

Question

How do you linearise the following equation?

$$ Y = \frac{\beta_{1}x}{\beta_{0} + x} + E. $$

$\beta_{0}$ and $\beta_{1}$ are the parameters and $E$ is the regression error term.

Answer 1

Consider $Y=1/y$ as a function on $X=1/x$. Then $Y(X)$ is linear.