Answer:
Domain: [tex](-\infty,\infty)[/tex]
Step-by-step explanation:
The domain of a function is all values of x such that f(x) exists.
In our case we have the following function:
[tex]f(x)=x^{3}-5x+3[/tex]
We know that x and f(x) are real numbers, therefore the domain will be the interval [tex](-\infty,\infty)[/tex], or in other words, the domain is all real numbers.
I hope it helps you!