Given
![\begin{gathered} A)F(x)=(x^2+5x-6)/(3x) \\ B)F(x)=x^4-x^2+8 \\ C)F(x)=\sqrt[]{2x-1}+9 \\ D)F(x)=-7x+15 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/xhrz6pdtmf2u2gfeqm2kbzz3vhmcd8v0gu.png)
To find which of the above function is a rational function.
Now,
A function is said to be a rational function if,

Here option A is a rational function.
Since it consists of both the numerator and the denominator.
Hence A) is a rational function.