Question
Find the domain of the function. \( f(x)=x^{2}-15 x+6 \) The domain of \( f(x) \) is (Type your answer in interval notation.)
Ask by Ortega Barrett. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The domain of \( f(x) \) is all real numbers, written as \((-\infty, \infty)\).
Solution
The function \( f(x) = x^2 - 15x + 6 \) is a polynomial. Polynomials are defined for all real numbers because there are no restrictions such as division by zero or taking the square root of a negative number.
**Domain of \( f(x) \):** \((-\infty, \infty)\)
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Simplify this solution Beyond the Answer
The function \( f(x) = x^{2} - 15x + 6 \) is a polynomial, and polynomials are defined for all real numbers. This means there are no restrictions on the values of \( x \) you can use in this function. So, the domain of \( f(x) \) is \((-∞, ∞)\).
