SOLUTION: can you please give me steps to find the domain of f(x)=(16x+3)/(x^2+6x-72) ? thanks you in advanced

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Question 559026: can you please give me steps to
find the domain of f(x)=(16x+3)/(x^2+6x-72) ?
thanks you in advanced

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
find the domain of f(x)=(16x+3)/(x^2+6x-72)
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The domain is all values of x for which the function is defined.
The function will be defined for all values in which the denominator does not equal 0.
The denominator can be factored as
(x^2+6x-72) = (x-6)(x+12)
So the domain is all real numbers except x=6, x=-12
The graph is below:
graph%28300%2C300%2C-15%2C15%2C-10%2C10%2C%2816x%2B3%29%2F%28x%5E2%2B6x-72%29%29