Suppose that $f(x)=\frac{1}{x+2}$ and $g(x)=\frac{5}{x-1}.$ If we were to add these two functions together to create a new function $h(x)$ then what is the domain of the new function $h(x)?$

$x-2,x5$

$x2,x-1$

$x2,x5$

$x-2,x1$

All real numbers

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