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$g(x)=x+5$
$h(x)=\cfrac{x^{2}-25}{x-5}$

Which statements below are true about the graphs of $g(x)$ and $h(x)$ ?

$I.$ The graphs are exactly the same.
$II.$ The graphs have infinitely many points in common.
$III.$ The graphs are the same except at $x=5$

A

$\text{I and III only}$

B

$\text{II only}$

C

$\text{III only}$

D

$\text{I only}$

E

$\text{II and III only}$

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