SOLUTION: f(x)= x+7/ x^2-3x-40 Find the domain and enter in interval notation

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Question 1187306: f(x)= x+7/ x^2-3x-40
Find the domain and enter in interval notation
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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Factor the denominator  x^2 - 3x - 40 = (x-8)*(x+5).


The roots of the denominator are 8 and -5.


So, the domain of the function is the entire number line without two points x= -5  and  x= 8.


ANSWER.  The domain is  (-oo,-5) U (-5,8) U (8,oo).

Solved.