SOLUTION: state the domain. f(x)= x+3 / x^2 + 8x +15

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Question 371753: state the domain.
f(x)= x+3 / x^2 + 8x +15

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The domain means allowable values of x...
In the function
f%28x%29=+%28x%2B3%29+%2F+%28x%5E2+%2B+8x+%2B+15%29
all values are allowed for x, EXCEPT those that make the denominator go to zero...
If we solve the denominator for zero via (x+3)(x+5)=0, we find that x cannot be -3 or -5...
Thus the domain is all real except x cannot be -3 or -5