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

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 \(\boxed{\mathbb{R}}\).