Evaluating problems

Question

Where is  discontinuous?

Options:

1. f(x) is continuous everywhere
2. x = -4
3. x = -2
4. x = -4 and x = -2

Answer 1

Hi David,

To find discontinuous in this problem, setting your denominator to zero and solve for x will be you discontinuous.

When you factor out (X^2+6X+8) = (X+4)(X+2) = 0, That mean when X = -4 and -2, your whole denominator equal to zero; which mean discontinuity.

Fourth choice should be your answer.