$\text { Find the } x \text {-values (if any) at which the function } f ( x ) = \frac { x } { x ^ { 2 } - 100 } \text { is not continuous. }$

Multiple Choice

$\text { Find the } x \text {-values (if any) at which the function } f ( x ) = \frac { x } { x ^ { 2 } - 100 } \text { is not continuous. }$ Which of the discontinuities are removable?

A) 10 and $- 10$ , removable
B) discontinuous everywhere
C) continuous everywhere
D) 10 and $- 10$ , not removable
E) 0 , removable