SOLUTION: Find the domain of the function: {{{h(x)=7x/x(x^2-9)}}}

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Question 310403: Find the domain of the function:
h%28x%29=7x%2Fx%28x%5E2-9%29
Answer by solver91311(24713) About Me  (Show Source):
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The domain of a rational function is all real numbers EXCEPT any number that would cause the value of the denominator to be zero. Take the denominator and set it equal to zero:



and then solve for

Factor:



Therefore, , , and must be excluded from the domain. Using interval notation, the domain is:



Or in set-builder notation:




John