Question

Which of the following is written as a rational function?

A.G(x)=-2x
B.P(x)=3x+4
C.Q(x)=x^2-8x+1
D.F(x)=x+2/5x

Answer 1

Explanation:

F(x)=x-3/8x

Answer 2

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
`G(x)= -2x`, 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
`P(x)= 3x+4`, 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
`Q(x)= x^2-8x+1`, 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
`F(x)= (x+2)/(5x)`, 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.