## College Algebra 7th Edition

domain: $\{x|x\neq\frac{1}{2}\}$
We are given: $f(x)= \frac{2x+1}{2x-1}$ We know that the denominator can not be zero: $2x-1 \neq 0$ $x\neq\frac{1}{2}$ Thus the domain is all real numbers except for $\frac{1}{2}$: $\{x|x\neq\frac{1}{2}\}$.