Determine all numbers at which the function is continuous.

Option a.

Step-by-step explanation:

Make the denominator equal to zero and solve for x, as following:

To solve the quadratic equation you can factor ir. You must  find two numbers whose sum is 8 and whose product is 9. These would be -1 and 9.

Then you have:

Therefore, based on this, you can conclude that the function is continuous at everty real number except x=1 and x=-9.

Option A. is the correct option.

Step-by-step explanation:

In this question the given function is

We have to find the continuity of the given function

If we rewrite the function in the factorial form

Now we take the denominator of the function

(x + 9) = 0

x = -9

and (x -1) = 0

x = 1

So for x = -9 and x = 0 the function becomes undefined.

Therefore function is continuous for every real number except x = -9 and x = 1.

Option a is the answer.