Question
Find the domain of the function. \( f(x)=15(x-13) \) The domain of \( f(x) \) is (Type your answer in interval notation.)
Ask by Sherman Mcdonald. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The domain of \( f(x) \) is all real numbers, written as \( (-\infty, \infty) \).
Solution
The function f(x) = 15(x - 13) is a linear function, and linear functions are defined for all real numbers. Therefore, the domain of f(x) is (-∞, ∞).
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Simplify this solution Extra Insights
The function \( f(x) = 15(x - 13) \) is a linear function, which means it is defined for all real numbers. There are no restrictions such as divisions by zero or square roots of negative numbers to consider. Therefore, the domain of \( f(x) \) is all real numbers. In interval notation, the domain is expressed as \( (-\infty, \infty) \). This means you can plug in any real number for \( x \) and still get a defined output for \( f(x) \)!
