Which of the following is written as a rational function


Asked by maham237 @ in Mathematics viewed by 288 People


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

Answered by maham237 @



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)= \frac{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.


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