Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 19: 2

False

We can rewrite $f$ by simplifying by $x-1$: $f(x)=\frac{x^{2}-1}{x-1}=\frac{x(x-1)}{x-1}=x$ for $x\not=1$. The two functions have the same formula, BUT not the same domain: the domain of $f$ is $x\not=1$, while the domain of $g$ is the set of all real numbers. So the two functions are not equal.