Explain why f(x) = √x2+4x+3/x2-x-2 is not continuous at x = -1.

Option C

Step-by-step explanation:

Make the denominator equal to zero and solve for x:

Then, as you can see, x=-1 makes the denominator equal to zero and the division by zero does not exist Therefore you can conclude that the function shown in the problem is not defined at x=-1

The answer is the option C.

Option C. f(x) is not defined at x = -1

Step-by-step explanation:

Since given function is

We have to check the continuity of the given function at x = -1.

We rewrite the function in the form an equation

Now we factorize the fraction of the expression

Now we can explain that for the value of x from the denominator

(x -2) = 0 Or x = 2

and for (x +1) =0

Or x = -1

The function is not continuous.

Therefore Option C is the correct answer.

Step-by-step explanation: