What value is a discontinuity of x squared plus 5 x plus 2, all over x squared plus 2 x minus 35?

x=-7 and x=5.  

Step-by-step explanation:

We have been given a rational function: . We are asked to find the points at which our function is discontinuous.

A rational function is discontinuous when the function is undefined or the denominator is zero.

Let us find what values of x will make our denominator zero.

We will use factoring to find the zeros of x. By splitting the middle term we will get,

Therefore, at x equals -7 and x equals 5 our function is discontinuous.