Answer
The given function is neither a rational function nor a polynomial function.
Work Step by Step
(a) A function $f(x)$ is said to be a polynomial function when $f(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}++a_1x+a_0$, where $a_n\ne0$.
(b) A function $f(x)$ is said to be a rational function if $f(x) = \dfrac{a(x)}{b(x)}$ where $a(x)$ and $b(x)$ are known polynomial functions and $b(x) \ne 0$.
The given function is not a polynomial function because it contains a non-integer exponent. It is also not a rational function, since it is not a ratio of polynomials
