Chapter 1.2, Problem 5E

For which of the following $g\left(x\right)$ is $r=\sqrt{3}$ a fixed point?

1. $g\left(x\right)=\frac{x}{\sqrt{3}}$
2. $g\left(x\right)=\frac{2x}{3}+\frac{1}{x}$
3. $g\left(x\right)=x^2-x$
4. $g\left(x\right)=1+\frac{2}{x+1}$