Pregunta
Find the domain of the function. \( f(x)=x^{2}-10 x-4 \) The domain of \( f(x) \) is \( \square \)
Ask by Franklin Schultz. in the United States
Feb 25,2025
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The domain of \( f(x) \) is all real numbers.
Solución
The function f(x) = x² - 10x - 4 is a quadratic polynomial, and polynomial functions are defined for all real numbers. Therefore, the domain of f(x) is all real numbers.
The domain of f(x) is (-∞, ∞).
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Simplifique esta solución Beyond the Answer
The function \( f(x) = x^2 - 10x - 4 \) is a quadratic function, which means it is defined for all real numbers. There are no restrictions like square roots or denominators that could limit the domain, so you can plug in any value for \( x \). Thus, the domain of \( f(x) \) is all real numbers, which can be expressed in interval notation as \( (-\infty, \infty) \).
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