Question
Find the domain of the function using interval notation. \[ f(x)=-8 x(x-5)(x-9) \]
Ask by Malone Wright. in the United States
Mar 10,2025
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Tutor-Verified Answer
Answer
The domain of \( f(x) \) is all real numbers, or \( (-\infty, \infty) \).
Solution
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Mind Expander
The function \( f(x) = -8 x(x-5)(x-9) \) is a polynomial function. Polynomial functions are defined for all real numbers, which means there are no restrictions such as square roots or division by zero that would limit the domain. Therefore, the domain of the function in interval notation is: \[ (-\infty, \infty) \] This means you can input any real number into this function without running into any undefined values.
