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

May 31, 2017

There becomes a restriction in the domain if there is an $x$ in the denominator of a fraction, or there is a square root, etc., such that a zero-bound exists.
In this case, no matter what $x$ is, $y$ will always be real. For example, as $x$ approaches infinity, $y$ approaches negative infinity. As $x$ approaches $0$, the range approaches $3$.
Thus, the domain spans from $\left(- \infty , \infty\right)$.