SOLUTION: Find the domain f(x)= x+7 divided by x^2-3x-40

Algebra ->  Functions -> SOLUTION: Find the domain f(x)= x+7 divided by x^2-3x-40       Log On


   



Question 1187304: Find the domain
f(x)= x+7 divided by x^2-3x-40

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.

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.