Evaluating problems

Question

If  is continuous at x = -3, find f(-3).

Options:

1. 3
2. -3
3. -6
4. 6

Answer 1

Hi David,

This type of problem would be easier if you factor out the numerator, reduce, then substitute the f(-3) back in to get your answer.

numerator (X^2 - 9) expand it to (X-3) (X+3)

denominator (X+3)

So (X+3) reduces or cancel, you then left with (X-3), then substitute f(-3) = -3 - 3 = -6

-6 should be the correct answer,

please let me know if this helps.