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2 answers:
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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 , 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 , 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 , 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 , 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.