Determine all numbers at which the function is continuous.

Option C.

Step-by-step explanation:

The function is discontinuous at points where the denominator is equal to zero. Then we must take the polynomial that is in the denominator of the expression and look for what points is equal to zero.

Then we have the following expression:

We must factor it.

Then we look for 2 numbers that multiplied give as a result 45, and added as a result -14.

You can verify that these numbers are -9 and -5.

Then the polynomial is like:

Then when and when

Therefore the function is continuous in all reals number except for  and in

The correct option is:

Option c

Option C. is the correct option.

Step-by-step explanation:

The given function is

Now we will rewrite the given function in the factorial form

Now the given function is defined if the denominator is not equal to zero

Therefore for (x-5) = 0

x = 5

and x - 9 =0

x = 9

The function is not defined.

Therefore option C. continuous at every real number except x = 5 and x = 9 is the correct answer.

2500

step-by-step explanation:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column