At what point is the function y=(x+3)/(x^(2)-7x+12) continuous

If a function is defined as

where both are continuous functions, then is also continuous where defined, i.e. where

So, in your case, this function is continous everywhere, except where

To solve this equation, we can use the formula

It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.

So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.

So, this function is continuous for every real number different than 3 or 4.

what are the answear choices to the question.

step-by-step explanation:

b

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