# How do you find the domain for h(x)=x^2+2?

$h \left(x\right) = {x}^{2} + 2$ is valid ("defined") for all Real values of $x$
so the domain of $h \left(x\right)$ is $\left(- \infty , + \infty\right)$
(Actually $h \left(x\right)$ is valid for all Complex values as well if this is a consideration)