Problem

Find the domain of the function.
\[
f(x)=x^{2}-7 x+15
\]

Answer

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Answer

Final Answer: The domain of the function \(f(x)=x^{2}-7 x+15\) is all real numbers, which can be represented as \(\boxed{\mathbb{R}}\).

Steps

Step 1 :Find the domain of the function \(f(x)=x^{2}-7 x+15\).

Step 2 :The domain of a function is the set of all possible input values (often the 'x' variable), which produce a valid output from a particular function.

Step 3 :For a polynomial function like this one, the domain is all real numbers because you can substitute any real number for x and the function will still work.

Step 4 :Final Answer: The domain of the function \(f(x)=x^{2}-7 x+15\) is all real numbers, which can be represented as \(\boxed{\mathbb{R}}\).

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