Question

Which of the following is a rational function?aO A. F(X) =7+5%-63хB. F(X) = *- % +8C. F(X) = 1/2x-1+9D. F(x) = -7x+15

Answer 1

Given

$\begin{gathered} A)F(x)=\frac{x^2+5x-6}{3x} \\ B)F(x)=x^4-x^2+8 \\ C)F(x)=\sqrt[]{2x-1}+9 \\ D)F(x)=-7x+15 \end{gathered}$

To find which of the above function is a rational function.

Now,

A function is said to be a rational function if,

$F(x)=\frac{f(x)_{}}{g(x)}$

Here option A is a rational function.

Since it consists of both the numerator and the denominator.

Hence A) is a rational function.