## Functions Modeling Change: A Preparation for Calculus, 5th Edition

At $x=0$, $f(x)$ equals $$f(0)=\frac{4}{0-3}=-\frac{4}{3}$$ Since the function produces a value, $x=0$ must be in the domain. Therefore, $x \ne 0$ being in the domain is false, making the statement false.