Given:
[tex]f(x)=\sqrt[]{5}x+1[/tex]Polynomial:
The polynomial is expressed as,
[tex]\begin{gathered} p(x)=a_nx^n+a_{n-1}x^{n-1}+\ldots\ldots.a_1x+a_0 \\ n\text{ is non-negative integer.} \\ a_i\text{ are non-zero real numbers} \end{gathered}[/tex]The given function has a real coefficient and non-negative power.
Therefore, it is a polynomial.