## College Algebra 7th Edition

Domain: $(-\infty, \frac{1}{2}]$
We are given: $f(x)=\sqrt{1-2x}$ The domain of a function consists of all values that $x$ is allowed to have. In this case, we can not take the square root of a negative number, so: $1-2x \geq 0$ $1\geq 2x$ $\frac{1}{2}\geq x$ $x\leq\frac{1}{2}$ Thus the domain is: $(-\infty, \frac{1}{2}]$