# How do you find the domain of f(x)=-2x+3?

The domain is all real numbers, or $\mathbb{R}$.
$f$ is a polynomial, and, by definition, all polynomials have all real numbers as their domain.
Alternatively, we can say that for any real value of $x$, $f \left(x\right)$ is well-defined, exists, and is a real number as well. Therefore, the domain of this function is all real numbers.