SOLUTION: What is the domain of Q(x)= x+8/x^2+36x
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Question 428103: What is the domain of Q(x)= x+8/x^2+36x
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
That depends a great deal on how much of your function that follows the "/" is in the denominator of the rational part of the function, to wit:
\ =\ x\ +\ \frac{8}{x^2}\ +\ 36x)
has a different domain than
\ =\ x\ +\ \frac{8}{x^2\ +\ 36x})
and both have a different domain than:
\ =\ x\ +\ \frac{8}{x^{2\ +\ 36x}})
Repost your question using parentheses to eliminate ambiguities, that is either:
Q(x) = x + (8/x^2) + 36x
Q(x) = x + 8/(x^2 + 36x)
Q(x) = x + 8/x^(2 + 36x)
John
My calculator said it, I believe it, that settles it
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