By definition, the domain of a function is the complete set of possible values of the independent variable (x, usually).
We must find the domain of the following function:
[tex]f(x)=\sqrt[5]{x^2-7x+2}\text{.}[/tex]
We see that the function is the odd root of a polynomial. Odd roots are defined for all real numbers, so this function is defined for all real numbers. The domain of the function is:
[tex]\text{Domain }=(-\infty,\infty).[/tex]
Answer
[tex]\text{Domain }=(-\infty,\infty).[/tex]
