Respuesta :
We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function [tex]G(x)= -2x[/tex], since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function [tex]P(x)= 3x+4[/tex], since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function [tex]Q(x)= x^2-8x+1[/tex], since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function [tex]F(x)= \frac{x+2}{5x}[/tex], since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.
