The graph below shows the function f (x) = 5x+10/x^2+7x+10

Where is the removable discontinuity of f (x) located?

A. x = - 5

B. x = 0

C. x = - 2

D. x = 5

C. x = - 2

Step-by-step explanation:

A proper graph of the function will have an open circle at (-2, 5/3), so you should be able to read the answer from the graph.

The factorization is ...

... f (x) = 5 (x + 2) / ((x + 5) (x + 2))

The removable discontinuity is created by the factor (x+2) / (x+2), which is undefined at x = - 2.