# What is the domain of f(x)=x^2-4x+7 ?

Apr 18, 2018

$x \in \mathbb{R}$

#### Explanation:

$f \left(x\right)$ is a polynomial, which means its domain is defined for all real numbers. We can input any value for $x$ and get an $f \left(x\right)$ value. Thus,

$x \in \mathbb{R}$

meaning $x$ is defined for all real numbers, or $x$ is a member of the reals.

Hope this helps!